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Simplifying 29z + 14z + -35z + -7z + 4 = 40 Reorder the terms: 4 + 29z + 14z + -35z + -7z = 40 Combine like terms: 29z + 14z = 43z 4 + 43z + -35z + -7z = 40 Combine like terms: 43z + -35z = 8z 4 + 8z + -7z = 40 Combine like terms: 8z + -7z = 1z 4 + 1z = 40 Solving 4 + 1z = 40 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 1z = 40 + -4 Combine like terms: 4 + -4 = 0 0 + 1z = 40 + -4 1z = 40 + -4 Combine like terms: 40 + -4 = 36 1z = 36 Divide each side by '1'. z = 36 Simplifying z = 36
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