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Simplifying (3z + 6) + (4z + -13) + 90 = 180 Reorder the terms: (6 + 3z) + (4z + -13) + 90 = 180 Remove parenthesis around (6 + 3z) 6 + 3z + (4z + -13) + 90 = 180 Reorder the terms: 6 + 3z + (-13 + 4z) + 90 = 180 Remove parenthesis around (-13 + 4z) 6 + 3z + -13 + 4z + 90 = 180 Reorder the terms: 6 + -13 + 90 + 3z + 4z = 180 Combine like terms: 6 + -13 = -7 -7 + 90 + 3z + 4z = 180 Combine like terms: -7 + 90 = 83 83 + 3z + 4z = 180 Combine like terms: 3z + 4z = 7z 83 + 7z = 180 Solving 83 + 7z = 180 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-83' to each side of the equation. 83 + -83 + 7z = 180 + -83 Combine like terms: 83 + -83 = 0 0 + 7z = 180 + -83 7z = 180 + -83 Combine like terms: 180 + -83 = 97 7z = 97 Divide each side by '7'. z = 13.85714286 Simplifying z = 13.85714286
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