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Simplifying 19 + (18z + 3) + (5z + -3) = 180 Reorder the terms: 19 + (3 + 18z) + (5z + -3) = 180 Remove parenthesis around (3 + 18z) 19 + 3 + 18z + (5z + -3) = 180 Reorder the terms: 19 + 3 + 18z + (-3 + 5z) = 180 Remove parenthesis around (-3 + 5z) 19 + 3 + 18z + -3 + 5z = 180 Reorder the terms: 19 + 3 + -3 + 18z + 5z = 180 Combine like terms: 19 + 3 = 22 22 + -3 + 18z + 5z = 180 Combine like terms: 22 + -3 = 19 19 + 18z + 5z = 180 Combine like terms: 18z + 5z = 23z 19 + 23z = 180 Solving 19 + 23z = 180 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 23z = 180 + -19 Combine like terms: 19 + -19 = 0 0 + 23z = 180 + -19 23z = 180 + -19 Combine like terms: 180 + -19 = 161 23z = 161 Divide each side by '23'. z = 7 Simplifying z = 7
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