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Simplifying 7z + 3 = 29(z + -6) Reorder the terms: 3 + 7z = 29(z + -6) Reorder the terms: 3 + 7z = 29(-6 + z) 3 + 7z = (-6 * 29 + z * 29) 3 + 7z = (-174 + 29z) Solving 3 + 7z = -174 + 29z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-29z' to each side of the equation. 3 + 7z + -29z = -174 + 29z + -29z Combine like terms: 7z + -29z = -22z 3 + -22z = -174 + 29z + -29z Combine like terms: 29z + -29z = 0 3 + -22z = -174 + 0 3 + -22z = -174 Add '-3' to each side of the equation. 3 + -3 + -22z = -174 + -3 Combine like terms: 3 + -3 = 0 0 + -22z = -174 + -3 -22z = -174 + -3 Combine like terms: -174 + -3 = -177 -22z = -177 Divide each side by '-22'. z = 8.045454545 Simplifying z = 8.045454545
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