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Simplifying 7z + 14 = 5z + 29 Reorder the terms: 14 + 7z = 5z + 29 Reorder the terms: 14 + 7z = 29 + 5z Solving 14 + 7z = 29 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 14 + 7z + -5z = 29 + 5z + -5z Combine like terms: 7z + -5z = 2z 14 + 2z = 29 + 5z + -5z Combine like terms: 5z + -5z = 0 14 + 2z = 29 + 0 14 + 2z = 29 Add '-14' to each side of the equation. 14 + -14 + 2z = 29 + -14 Combine like terms: 14 + -14 = 0 0 + 2z = 29 + -14 2z = 29 + -14 Combine like terms: 29 + -14 = 15 2z = 15 Divide each side by '2'. z = 7.5 Simplifying z = 7.5
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