Solve for: |8m-8|=40

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Expression: $|8m-8|=40$

Use the absolute value definition to rewrite the absolute value equation as two separate equations

$\begin{array} { l }8m-8=40,\\8m-8=-40\end{array}$

Solve the equation for $m$

$\begin{array} { l }m=6,\\8m-8=-40\end{array}$

Solve the equation for $m$

$\begin{array} { l }m=6,\\m=-4\end{array}$

The equation has $2$ solutions

$\begin{array} { l }m_1=-4,& m_2=6\end{array}$

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