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Simplifying (4z + 9) + (3z + -10) + 90 = 180 Reorder the terms: (9 + 4z) + (3z + -10) + 90 = 180 Remove parenthesis around (9 + 4z) 9 + 4z + (3z + -10) + 90 = 180 Reorder the terms: 9 + 4z + (-10 + 3z) + 90 = 180 Remove parenthesis around (-10 + 3z) 9 + 4z + -10 + 3z + 90 = 180 Reorder the terms: 9 + -10 + 90 + 4z + 3z = 180 Combine like terms: 9 + -10 = -1 -1 + 90 + 4z + 3z = 180 Combine like terms: -1 + 90 = 89 89 + 4z + 3z = 180 Combine like terms: 4z + 3z = 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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