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Simplifying 5z + 11 + 24z = 50 + 27z + -1(-3) Reorder the terms: 11 + 5z + 24z = 50 + 27z + -1(-3) Combine like terms: 5z + 24z = 29z 11 + 29z = 50 + 27z + -1(-3) Multiply -1 * -3 11 + 29z = 50 + 27z + 3 Reorder the terms: 11 + 29z = 50 + 3 + 27z Combine like terms: 50 + 3 = 53 11 + 29z = 53 + 27z Solving 11 + 29z = 53 + 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. 11 + 29z + -27z = 53 + 27z + -27z Combine like terms: 29z + -27z = 2z 11 + 2z = 53 + 27z + -27z Combine like terms: 27z + -27z = 0 11 + 2z = 53 + 0 11 + 2z = 53 Add '-11' to each side of the equation. 11 + -11 + 2z = 53 + -11 Combine like terms: 11 + -11 = 0 0 + 2z = 53 + -11 2z = 53 + -11 Combine like terms: 53 + -11 = 42 2z = 42 Divide each side by '2'. z = 21 Simplifying z = 21
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