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Simplifying 29z + 60 = 69z + -100 Reorder the terms: 60 + 29z = 69z + -100 Reorder the terms: 60 + 29z = -100 + 69z Solving 60 + 29z = -100 + 69z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-69z' to each side of the equation. 60 + 29z + -69z = -100 + 69z + -69z Combine like terms: 29z + -69z = -40z 60 + -40z = -100 + 69z + -69z Combine like terms: 69z + -69z = 0 60 + -40z = -100 + 0 60 + -40z = -100 Add '-60' to each side of the equation. 60 + -60 + -40z = -100 + -60 Combine like terms: 60 + -60 = 0 0 + -40z = -100 + -60 -40z = -100 + -60 Combine like terms: -100 + -60 = -160 -40z = -160 Divide each side by '-40'. z = 4 Simplifying z = 4
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