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Simplifying -3(3 + -5z) = 6z + 81 (3 * -3 + -5z * -3) = 6z + 81 (-9 + 15z) = 6z + 81 Reorder the terms: -9 + 15z = 81 + 6z Solving -9 + 15z = 81 + 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. -9 + 15z + -6z = 81 + 6z + -6z Combine like terms: 15z + -6z = 9z -9 + 9z = 81 + 6z + -6z Combine like terms: 6z + -6z = 0 -9 + 9z = 81 + 0 -9 + 9z = 81 Add '9' to each side of the equation. -9 + 9 + 9z = 81 + 9 Combine like terms: -9 + 9 = 0 0 + 9z = 81 + 9 9z = 81 + 9 Combine like terms: 81 + 9 = 90 9z = 90 Divide each side by '9'. z = 10 Simplifying z = 10
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