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Simplifying 24 = 6(z + -82) Reorder the terms: 24 = 6(-82 + z) 24 = (-82 * 6 + z * 6) 24 = (-492 + 6z) Solving 24 = -492 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 24 + -6z = -492 + 6z + -6z Combine like terms: 6z + -6z = 0 24 + -6z = -492 + 0 24 + -6z = -492 Add '-24' to each side of the equation. 24 + -24 + -6z = -492 + -24 Combine like terms: 24 + -24 = 0 0 + -6z = -492 + -24 -6z = -492 + -24 Combine like terms: -492 + -24 = -516 -6z = -516 Divide each side by '-6'. z = 86 Simplifying z = 86
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