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Simplifying (7z + -1) + (13z + 1) + 90 = 180 Reorder the terms: (-1 + 7z) + (13z + 1) + 90 = 180 Remove parenthesis around (-1 + 7z) -1 + 7z + (13z + 1) + 90 = 180 Reorder the terms: -1 + 7z + (1 + 13z) + 90 = 180 Remove parenthesis around (1 + 13z) -1 + 7z + 1 + 13z + 90 = 180 Reorder the terms: -1 + 1 + 90 + 7z + 13z = 180 Combine like terms: -1 + 1 = 0 0 + 90 + 7z + 13z = 180 90 + 7z + 13z = 180 Combine like terms: 7z + 13z = 20z 90 + 20z = 180 Solving 90 + 20z = 180 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + 20z = 180 + -90 Combine like terms: 90 + -90 = 0 0 + 20z = 180 + -90 20z = 180 + -90 Combine like terms: 180 + -90 = 90 20z = 90 Divide each side by '20'. z = 4.5 Simplifying z = 4.5
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