To solve the equation $-\frac{1}{4} x + 5 = -15$, we need to isolate the variable $x by first subtracting 5 from both sides and then multiplying by -4 to get the solution.
$-\frac{1}{4} x = -15 - 5$
$-\frac{1}{4} x = -20$
$x = (-20) \times (-4)$ $x = 80$
$\boxed{x = 80}$
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