-9(2 - 3h) = 47h -28
\(h = \frac{1}{2}\)
Question
-9(2 - 3h) = 47h -28
Solution Steps
-
Understand the question
-9(2 - 3h) = 47h -28
-
Explanation
Step1: Expand the left side
Using the distributive property \(a(b - c)=ab - ac\), we have \(-9\times2-(-9)\times3h=-18 + 27h\). So the equation becomes \(-18 + 27h=47h-28\).
Step2: Move terms with h to one side
Subtract \(27h\) from both sides: \(-18+27h - 27h=47h-28 - 27h\), which simplifies to \(-18 = 20h-28\).
Step3: Solve for h
Add 28 to both sides: \(-18 + 28=20h-28 + 28\), so \(10 = 20h\). Then divide both sides by 20: \(h=\frac{10}{20}=\frac{1}{2}\).
-
Final answer
\(h = \frac{1}{2}\)
Answer
Explanation
Step1: Expand the left side
Using the distributive property \(a(b - c)=ab - ac\), we have \(-9\times2-(-9)\times3h=-18 + 27h\). So the equation becomes \(-18 + 27h=47h-28\).
Step2: Move terms with h to one side
Subtract \(27h\) from both sides: \(-18+27h - 27h=47h-28 - 27h\), which simplifies to \(-18 = 20h-28\).
Step3: Solve for h
Add 28 to both sides: \(-18 + 28=20h-28 + 28\), so \(10 = 20h\). Then divide both sides by 20: \(h=\frac{10}{20}=\frac{1}{2}\).
Answer
\(h = \frac{1}{2}\)
Question Image
Click to enlargeQuestion Analysis
Subject
mathematics
Sub Subject
algebra
Education Level
high school
Difficulty
unspecified
Question Type
calculation
Multi Question
No
Question Count
1
Analysis Status
completed
Analyzed At
2026-02-03T09:43:58
OCR Text
Show OCR extraction
-9(2 - 3h) = 47h -28
Related Topics
Related Questions
-
use an area model to solve 31 × 26. multiply in the area model.
Top-left cell: 180 Top-right cell: 6 Bottom-left cell: 600 Bottom-right cell: 20 Final product: 806
-
6. solve each equation. write each solution as a fraction and as a deci…
| Equation | Solution (Fraction) | Solution (Decimal) | |----------|---------------------|--------------------| | $2x=3$ | $\frac{3}{2}$ | $1.5$ | | $5y=3$ | $\frac{3}{5}$ | $0.6$…
-
Ok
- Fila 2: Circular el par (5, 2). - Fila 3: Circular el par (3, 3) (o la tarjeta con 3 y la otra con 4 dibujos, pero los números son 3 y 3? Wait, la tercera fila: primera tarjeta …
-
How do you solve pemdas
It's basically just a checklist so you don't get mixed up when a math problem has a bunch of stuff going on at once. You just go down the list in order: 1. **P**arentheses: Do any…
-
which number line models $-1 + (-14)$? add. $-1 + (-14) = \\square$
\(-15\)
-
11 et 12
The initial number of bacteria is 5. ### Turn 2 Answer Ça marche, regardons ça ! On dirait que tu es en plein dans les maths financières. Pour le **numéro 11**, on cherche le taux…
-
military campaign often hinges on the vital information provided by bra…
1. C. Gathered intelligence using various disguises and techniques. 2. A. The spy's commitment to the cause of liberty despite the danger. 3. B. Gathering intelligence to inform m…
-
Summarize #2
1. 1) Spies used hidden invisible ink in letters to secretly share military details like troop movements or fortifications, hiding intelligence in normal-looking correspondence. 2…
Sovi AI iOS
Official website: mysovi.ai. Question pages are served on question-banks.mysovi.ai. iOS app is distributed through the Apple App Store.
Download on App Store Category: Algebra