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Simplifying 5(4z + 7) = 29 + -9z Reorder the terms: 5(7 + 4z) = 29 + -9z (7 * 5 + 4z * 5) = 29 + -9z (35 + 20z) = 29 + -9z Solving 35 + 20z = 29 + -9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9z' to each side of the equation. 35 + 20z + 9z = 29 + -9z + 9z Combine like terms: 20z + 9z = 29z 35 + 29z = 29 + -9z + 9z Combine like terms: -9z + 9z = 0 35 + 29z = 29 + 0 35 + 29z = 29 Add '-35' to each side of the equation. 35 + -35 + 29z = 29 + -35 Combine like terms: 35 + -35 = 0 0 + 29z = 29 + -35 29z = 29 + -35 Combine like terms: 29 + -35 = -6 29z = -6 Divide each side by '29'. z = -0.2068965517 Simplifying z = -0.2068965517
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