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

Question

asked Mar 9, 2023 197k views

1 Answer

Michael Bedford · Answer 1 · 2023-03-16T02:04:32+0000

m=3

Step-by-step 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

$\begin{gathered} -15m=-45 \\ (-15m)/(-15)=(-45)/(-15) \\ m=3 \end{gathered}$

I hope this helps you