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Simplifying 23z + (18z + 3) + 32 = 180 Reorder the terms: 23z + (3 + 18z) + 32 = 180 Remove parenthesis around (3 + 18z) 23z + 3 + 18z + 32 = 180 Reorder the terms: 3 + 32 + 23z + 18z = 180 Combine like terms: 3 + 32 = 35 35 + 23z + 18z = 180 Combine like terms: 23z + 18z = 41z 35 + 41z = 180 Solving 35 + 41z = 180 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 41z = 180 + -35 Combine like terms: 35 + -35 = 0 0 + 41z = 180 + -35 41z = 180 + -35 Combine like terms: 180 + -35 = 145 41z = 145 Divide each side by '41'. z = 3.536585366 Simplifying z = 3.536585366
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