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Simplifying 5(2 + -9z) = 4(17 + -4z) (2 * 5 + -9z * 5) = 4(17 + -4z) (10 + -45z) = 4(17 + -4z) 10 + -45z = (17 * 4 + -4z * 4) 10 + -45z = (68 + -16z) Solving 10 + -45z = 68 + -16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '16z' to each side of the equation. 10 + -45z + 16z = 68 + -16z + 16z Combine like terms: -45z + 16z = -29z 10 + -29z = 68 + -16z + 16z Combine like terms: -16z + 16z = 0 10 + -29z = 68 + 0 10 + -29z = 68 Add '-10' to each side of the equation. 10 + -10 + -29z = 68 + -10 Combine like terms: 10 + -10 = 0 0 + -29z = 68 + -10 -29z = 68 + -10 Combine like terms: 68 + -10 = 58 -29z = 58 Divide each side by '-29'. z = -2 Simplifying z = -2
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