Question

solve for b.
3(-3b + 10) = -6b - 10 + 5b
b =

Explanation:

Step1: Expand left side

Using distributive property \(a(b + c)=ab+ac\), we have \(3(-3b + 10)=-9b + 30\).

Step2: Simplify right side

Combine like terms: \(-6b+5b=-b\), so right side is \(-b - 10\).

Step3: Set up equation

Now equation is \(-9b + 30=-b - 10\).

Step4: Add \(9b\) to both sides

\(-9b+9b + 30=-b+9b - 10\), which simplifies to \(30 = 8b-10\).

Step5: Add 10 to both sides

\(30 + 10=8b-10 + 10\), so \(40 = 8b\).

Step6: Divide by 8

\(\frac{40}{8}=\frac{8b}{8}\), giving \(b = 5\).

Answer:

\(5\)