Question

solve for the value of b. you can choose to show your work below, or solve on paper and enter your answer on zearn.
\\(\frac{3}{2}(7 + 3b) = 3 + 3b\\)
\\(2 \cdot (\frac{3}{2}(7 + 3b)) = 2 \cdot (3 + 3b)\\)
\\(3(7 + 3b) = 6 + 6b\\)
\\(b = \square\\)

Explanation:

Step1: Expand the left side

Using the distributive property, \(3(7 + 3b)=21 + 9b\). So the equation becomes \(21 + 9b=6 + 6b\).

Step2: Subtract \(6b\) from both sides

Subtracting \(6b\) from each side gives \(21 + 9b-6b=6 + 6b-6b\), which simplifies to \(21 + 3b=6\).

Step3: Subtract 21 from both sides

Subtracting 21 from both sides: \(21 + 3b-21=6 - 21\), resulting in \(3b=-15\).

Step4: Divide by 3

Dividing both sides by 3: \(\frac{3b}{3}=\frac{-15}{3}\), so \(b = - 5\).

Answer:

\(b=-5\)