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5(3z - 8) = -10
Step1: Divide both sides by 5
$\frac{5(3z - 8)}{5} = \frac{-10}{5}$
Simplifies to: $3z - 8 = -2$
Step2: Add 8 to both sides
$3z - 8 + 8 = -2 + 8$
Simplifies to: $3z = 6$
Step3: Divide both sides by 3
$\frac{3z}{3} = \frac{6}{3}$
Simplifies to: $z = 2$
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$z = 2$