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Simplifying 4 + 14z + -1 = 7z + 39 + -2z Reorder the terms: 4 + -1 + 14z = 7z + 39 + -2z Combine like terms: 4 + -1 = 3 3 + 14z = 7z + 39 + -2z Reorder the terms: 3 + 14z = 39 + 7z + -2z Combine like terms: 7z + -2z = 5z 3 + 14z = 39 + 5z Solving 3 + 14z = 39 + 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. 3 + 14z + -5z = 39 + 5z + -5z Combine like terms: 14z + -5z = 9z 3 + 9z = 39 + 5z + -5z Combine like terms: 5z + -5z = 0 3 + 9z = 39 + 0 3 + 9z = 39 Add '-3' to each side of the equation. 3 + -3 + 9z = 39 + -3 Combine like terms: 3 + -3 = 0 0 + 9z = 39 + -3 9z = 39 + -3 Combine like terms: 39 + -3 = 36 9z = 36 Divide each side by '9'. z = 4 Simplifying z = 4
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