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Simplifying 5z + 14 + 24z = 58 + 27 + -1(-2) Reorder the terms: 14 + 5z + 24z = 58 + 27 + -1(-2) Combine like terms: 5z + 24z = 29z 14 + 29z = 58 + 27 + -1(-2) Multiply -1 * -2 14 + 29z = 58 + 27 + 2 Combine like terms: 58 + 27 = 85 14 + 29z = 85 + 2 Combine like terms: 85 + 2 = 87 14 + 29z = 87 Solving 14 + 29z = 87 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 29z = 87 + -14 Combine like terms: 14 + -14 = 0 0 + 29z = 87 + -14 29z = 87 + -14 Combine like terms: 87 + -14 = 73 29z = 73 Divide each side by '29'. z = 2.517241379 Simplifying z = 2.517241379
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