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Simplifying 5z + 12 + 24z = 56 + 27z + -1(2) Reorder the terms: 12 + 5z + 24z = 56 + 27z + -1(2) Combine like terms: 5z + 24z = 29z 12 + 29z = 56 + 27z + -1(2) Multiply -1 * 2 12 + 29z = 56 + 27z + -2 Reorder the terms: 12 + 29z = 56 + -2 + 27z Combine like terms: 56 + -2 = 54 12 + 29z = 54 + 27z Solving 12 + 29z = 54 + 27z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-27z' to each side of the equation. 12 + 29z + -27z = 54 + 27z + -27z Combine like terms: 29z + -27z = 2z 12 + 2z = 54 + 27z + -27z Combine like terms: 27z + -27z = 0 12 + 2z = 54 + 0 12 + 2z = 54 Add '-12' to each side of the equation. 12 + -12 + 2z = 54 + -12 Combine like terms: 12 + -12 = 0 0 + 2z = 54 + -12 2z = 54 + -12 Combine like terms: 54 + -12 = 42 2z = 42 Divide each side by '2'. z = 21 Simplifying z = 21
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