# Solve for: -5 \times |-8-5p|-8=-73

## Expression: $-5 \times |-8-5p|-8=-73$

Move the constant to the right-hand side and change its sign

$-5 \times |-8-5p|=-73+8$

Calculate the sum

$-5 \times |-8-5p|=-65$

Divide both sides of the equation by $-5$

$|-8-5p|=13$

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

$\begin{array} { l }-8-5p=13,\\-8-5p=-13\end{array}$

Solve the equation for $p$

$\begin{array} { l }p=-\frac{ 21 }{ 5 },\\-8-5p=-13\end{array}$

Solve the equation for $p$

$\begin{array} { l }p=-\frac{ 21 }{ 5 },\\p=1\end{array}$

The equation has $2$ solutions

\begin{align*}&\begin{array} { l }p_1=-\frac{ 21 }{ 5 },& p_2=1\end{array} \\&\begin{array} { l }p_1=-4.2,& p_2=1\end{array}\end{align*}

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