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Simplifying -5(4z + -6) = -31 + 8z Reorder the terms: -5(-6 + 4z) = -31 + 8z (-6 * -5 + 4z * -5) = -31 + 8z (30 + -20z) = -31 + 8z Solving 30 + -20z = -31 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 30 + -20z + -8z = -31 + 8z + -8z Combine like terms: -20z + -8z = -28z 30 + -28z = -31 + 8z + -8z Combine like terms: 8z + -8z = 0 30 + -28z = -31 + 0 30 + -28z = -31 Add '-30' to each side of the equation. 30 + -30 + -28z = -31 + -30 Combine like terms: 30 + -30 = 0 0 + -28z = -31 + -30 -28z = -31 + -30 Combine like terms: -31 + -30 = -61 -28z = -61 Divide each side by '-28'. z = 2.178571429 Simplifying z = 2.178571429
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