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Simplifying 3(2z + 3) = 5(8 + -5z) Reorder the terms: 3(3 + 2z) = 5(8 + -5z) (3 * 3 + 2z * 3) = 5(8 + -5z) (9 + 6z) = 5(8 + -5z) 9 + 6z = (8 * 5 + -5z * 5) 9 + 6z = (40 + -25z) Solving 9 + 6z = 40 + -25z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '25z' to each side of the equation. 9 + 6z + 25z = 40 + -25z + 25z Combine like terms: 6z + 25z = 31z 9 + 31z = 40 + -25z + 25z Combine like terms: -25z + 25z = 0 9 + 31z = 40 + 0 9 + 31z = 40 Add '-9' to each side of the equation. 9 + -9 + 31z = 40 + -9 Combine like terms: 9 + -9 = 0 0 + 31z = 40 + -9 31z = 40 + -9 Combine like terms: 40 + -9 = 31 31z = 31 Divide each side by '31'. z = 1 Simplifying z = 1
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