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Simplifying -8(6z + -5) = 24 + 9z Reorder the terms: -8(-5 + 6z) = 24 + 9z (-5 * -8 + 6z * -8) = 24 + 9z (40 + -48z) = 24 + 9z Solving 40 + -48z = 24 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 40 + -48z + -9z = 24 + 9z + -9z Combine like terms: -48z + -9z = -57z 40 + -57z = 24 + 9z + -9z Combine like terms: 9z + -9z = 0 40 + -57z = 24 + 0 40 + -57z = 24 Add '-40' to each side of the equation. 40 + -40 + -57z = 24 + -40 Combine like terms: 40 + -40 = 0 0 + -57z = 24 + -40 -57z = 24 + -40 Combine like terms: 24 + -40 = -16 -57z = -16 Divide each side by '-57'. z = 0.2807017544 Simplifying z = 0.2807017544
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