Question

Solve 5(4m + 1) − 2m = −13.

Answer 1

Explanation

5(4m+1)-2m=-13

20m+5-2m=-13

20m-2m=-13-5

18m=-18

m=-1

Answer 2

`\large\displaystyle\text{$\begin{gathered}\sf \bf{5(4m+1)-2m=-13 } \end{gathered}$}`

Apply the multiplicative law of distribution.

`\large\displaystyle\text{$\begin{gathered}\sf \bf{20m+5-2m=-13 } \end{gathered}$}`

Combine as terms.

`\large\displaystyle\text{$\begin{gathered}\sf \bf{18m+5=-13 } \end{gathered}$}`

Rearrange the unknown terms to the left side of the equation.

`\large\displaystyle\text{$\begin{gathered}\sf \bf{18m=-13-5 } \end{gathered}$}`

Calculate the sum or difference.

`\large\displaystyle\text{$\begin{gathered}\sf \bf{18m=-18 } \end{gathered}$}`

Divide both sides of the equation by the coefficient of the variable.

`\large\displaystyle\text{$\begin{gathered}\sf \bf{m=-(18)/(18) } \end{gathered}$}`

Solve for the common factor.

`\large\displaystyle\text{$\begin{gathered}\sf \bf{m=-1 \iff } \end{gathered}$}\boxed{\boxed{\bf{Answer}}}`