Respuesta :

m=3

Explanation

Step 1

apply the distributive property to eliminate the parenthesis

[tex]\begin{gathered} 6m+6+7(1-3m)=-32 \\ 6m+6+7-21m=-32 \end{gathered}[/tex]

Step 2

add similar terms

[tex]\begin{gathered} 6m+6+7-21m=-32 \\ -15m+13=-32 \end{gathered}[/tex]

Step 3

subtract 13 in both sides

[tex]\begin{gathered} -15m+13=-32 \\ -15m+13-13=-32-13 \\ -15m=-45 \end{gathered}[/tex]

Step 4

Finally, divide each side by -15

[tex]\begin{gathered} -15m=-45 \\ \frac{-15m}{-15}=\frac{-45}{-15} \\ m=3 \end{gathered}[/tex]

I hope this helps you

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