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Simplifying 3(8z + 5) + -4(2z + -9) = 72 Reorder the terms: 3(5 + 8z) + -4(2z + -9) = 72 (5 * 3 + 8z * 3) + -4(2z + -9) = 72 (15 + 24z) + -4(2z + -9) = 72 Reorder the terms: 15 + 24z + -4(-9 + 2z) = 72 15 + 24z + (-9 * -4 + 2z * -4) = 72 15 + 24z + (36 + -8z) = 72 Reorder the terms: 15 + 36 + 24z + -8z = 72 Combine like terms: 15 + 36 = 51 51 + 24z + -8z = 72 Combine like terms: 24z + -8z = 16z 51 + 16z = 72 Solving 51 + 16z = 72 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 16z = 72 + -51 Combine like terms: 51 + -51 = 0 0 + 16z = 72 + -51 16z = 72 + -51 Combine like terms: 72 + -51 = 21 16z = 21 Divide each side by '16'. z = 1.3125 Simplifying z = 1.3125
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