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Simplifying (Z + 10) + (z + 50) + 42z = 180 Reorder the terms: (10 + Z) + (z + 50) + 42z = 180 Remove parenthesis around (10 + Z) 10 + Z + (z + 50) + 42z = 180 Reorder the terms: 10 + Z + (50 + z) + 42z = 180 Remove parenthesis around (50 + z) 10 + Z + 50 + z + 42z = 180 Reorder the terms: 10 + 50 + Z + z + 42z = 180 Combine like terms: 10 + 50 = 60 60 + Z + z + 42z = 180 Combine like terms: z + 42z = 43z 60 + Z + 43z = 180 Solving 60 + Z + 43z = 180 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + Z + -60 + 43z = 180 + -60 Reorder the terms: 60 + -60 + Z + 43z = 180 + -60 Combine like terms: 60 + -60 = 0 0 + Z + 43z = 180 + -60 Z + 43z = 180 + -60 Combine like terms: 180 + -60 = 120 Z + 43z = 120 Add '-43z' to each side of the equation. Z + 43z + -43z = 120 + -43z Combine like terms: 43z + -43z = 0 Z + 0 = 120 + -43z Z = 120 + -43z Simplifying Z = 120 + -43z
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