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Simplifying 132 = (4z + 1) + (5z + 2) Reorder the terms: 132 = (1 + 4z) + (5z + 2) Remove parenthesis around (1 + 4z) 132 = 1 + 4z + (5z + 2) Reorder the terms: 132 = 1 + 4z + (2 + 5z) Remove parenthesis around (2 + 5z) 132 = 1 + 4z + 2 + 5z Reorder the terms: 132 = 1 + 2 + 4z + 5z Combine like terms: 1 + 2 = 3 132 = 3 + 4z + 5z Combine like terms: 4z + 5z = 9z 132 = 3 + 9z Solving 132 = 3 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 132 + -9z = 3 + 9z + -9z Combine like terms: 9z + -9z = 0 132 + -9z = 3 + 0 132 + -9z = 3 Add '-132' to each side of the equation. 132 + -132 + -9z = 3 + -132 Combine like terms: 132 + -132 = 0 0 + -9z = 3 + -132 -9z = 3 + -132 Combine like terms: 3 + -132 = -129 -9z = -129 Divide each side by '-9'. z = 14.33333333 Simplifying z = 14.33333333
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