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Simplifying (Z + 50) = (z + 10) + 42 Reorder the terms: (50 + Z) = (z + 10) + 42 Remove parenthesis around (50 + Z) 50 + Z = (z + 10) + 42 Reorder the terms: 50 + Z = (10 + z) + 42 Remove parenthesis around (10 + z) 50 + Z = 10 + z + 42 Reorder the terms: 50 + Z = 10 + 42 + z Combine like terms: 10 + 42 = 52 50 + Z = 52 + z Solving 50 + Z = 52 + z Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + Z = 52 + -50 + z Combine like terms: 50 + -50 = 0 0 + Z = 52 + -50 + z Z = 52 + -50 + z Combine like terms: 52 + -50 = 2 Z = 2 + z Simplifying Z = 2 + z
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