Question

How to solve this6m+6+7(1-3m)=-32

Answer 1

m=3

Explanation

Step 1

apply the distributive property to eliminate the parenthesis

$\begin{gathered} 6m+6+7(1-3m)=-32 \\ 6m+6+7-21m=-32 \end{gathered}$

Step 2

add similar terms

$\begin{gathered} 6m+6+7-21m=-32 \\ -15m+13=-32 \end{gathered}$

Step 3

subtract 13 in both sides

$\begin{gathered} -15m+13=-32 \\ -15m+13-13=-32-13 \\ -15m=-45 \end{gathered}$

Step 4

Finally, divide each side by -15

$\begin{gathered} -15m=-45 \\ \frac{-15m}{-15}=\frac{-45}{-15} \\ m=3 \end{gathered}$

I hope this helps you