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Simplifying (3z + 2) + (4z + -3) + 90 = 180 Reorder the terms: (2 + 3z) + (4z + -3) + 90 = 180 Remove parenthesis around (2 + 3z) 2 + 3z + (4z + -3) + 90 = 180 Reorder the terms: 2 + 3z + (-3 + 4z) + 90 = 180 Remove parenthesis around (-3 + 4z) 2 + 3z + -3 + 4z + 90 = 180 Reorder the terms: 2 + -3 + 90 + 3z + 4z = 180 Combine like terms: 2 + -3 = -1 -1 + 90 + 3z + 4z = 180 Combine like terms: -1 + 90 = 89 89 + 3z + 4z = 180 Combine like terms: 3z + 4z = 7z 89 + 7z = 180 Solving 89 + 7z = 180 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-89' to each side of the equation. 89 + -89 + 7z = 180 + -89 Combine like terms: 89 + -89 = 0 0 + 7z = 180 + -89 7z = 180 + -89 Combine like terms: 180 + -89 = 91 7z = 91 Divide each side by '7'. z = 13 Simplifying z = 13
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