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Simplifying 8(3z + 9) = -41(7z + 11) Reorder the terms: 8(9 + 3z) = -41(7z + 11) (9 * 8 + 3z * 8) = -41(7z + 11) (72 + 24z) = -41(7z + 11) Reorder the terms: 72 + 24z = -41(11 + 7z) 72 + 24z = (11 * -41 + 7z * -41) 72 + 24z = (-451 + -287z) Solving 72 + 24z = -451 + -287z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '287z' to each side of the equation. 72 + 24z + 287z = -451 + -287z + 287z Combine like terms: 24z + 287z = 311z 72 + 311z = -451 + -287z + 287z Combine like terms: -287z + 287z = 0 72 + 311z = -451 + 0 72 + 311z = -451 Add '-72' to each side of the equation. 72 + -72 + 311z = -451 + -72 Combine like terms: 72 + -72 = 0 0 + 311z = -451 + -72 311z = -451 + -72 Combine like terms: -451 + -72 = -523 311z = -523 Divide each side by '311'. z = -1.681672026 Simplifying z = -1.681672026
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