Question

complete the process of solving the equation. fill in all missing terms and select all missing descriptions. simplify any fractions. \\(10(b - 7) = 8b - 18\\) \\(10b - 70 = 8b - 18\\) \\(2b - 70 = -18\\) \\(2b = \\) add 70 to both sides \\(b = \\) divide both sides by 2

Explanation:

Step1: Apply distributive property

$10(b-7) = 10b - 70$, so this step is Distribute 10 to $b-7$

Step2: Subtract $8b$ from both sides

$10b - 70 - 8b = 8b - 18 - 8b$ → $2b - 70 = -18$

Step3: Add 70 to both sides

$2b - 70 + 70 = -18 + 70$ → $2b = 52$

Step4: Divide both sides by 2

$\frac{2b}{2} = \frac{52}{2}$ → $b = 26$

Answer:

1. First missing description: Distribute 10 to $b-7$
2. Second missing description: Subtract $8b$ from both sides
3. $2b = 52$
4. $b = 26$