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Simplifying -4(5z + -6) = 24 + 8z Reorder the terms: -4(-6 + 5z) = 24 + 8z (-6 * -4 + 5z * -4) = 24 + 8z (24 + -20z) = 24 + 8z Add '-24' to each side of the equation. 24 + -24 + -20z = 24 + -24 + 8z Combine like terms: 24 + -24 = 0 0 + -20z = 24 + -24 + 8z -20z = 24 + -24 + 8z Combine like terms: 24 + -24 = 0 -20z = 0 + 8z -20z = 8z Solving -20z = 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. -20z + -8z = 8z + -8z Combine like terms: -20z + -8z = -28z -28z = 8z + -8z Combine like terms: 8z + -8z = 0 -28z = 0 Divide each side by '-28'. z = 0 Simplifying z = 0
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