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Simplifying -5 = 8(3z + -10) Reorder the terms: -5 = 8(-10 + 3z) -5 = (-10 * 8 + 3z * 8) -5 = (-80 + 24z) Solving -5 = -80 + 24z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-24z' to each side of the equation. -5 + -24z = -80 + 24z + -24z Combine like terms: 24z + -24z = 0 -5 + -24z = -80 + 0 -5 + -24z = -80 Add '5' to each side of the equation. -5 + 5 + -24z = -80 + 5 Combine like terms: -5 + 5 = 0 0 + -24z = -80 + 5 -24z = -80 + 5 Combine like terms: -80 + 5 = -75 -24z = -75 Divide each side by '-24'. z = 3.125 Simplifying z = 3.125
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