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Simplifying Z + 2z + (z + 3) + (z + 5) = 54 Reorder the terms: Z + 2z + (3 + z) + (z + 5) = 54 Remove parenthesis around (3 + z) Z + 2z + 3 + z + (z + 5) = 54 Reorder the terms: Z + 2z + 3 + z + (5 + z) = 54 Remove parenthesis around (5 + z) Z + 2z + 3 + z + 5 + z = 54 Reorder the terms: 3 + 5 + Z + 2z + z + z = 54 Combine like terms: 3 + 5 = 8 8 + Z + 2z + z + z = 54 Combine like terms: 2z + z = 3z 8 + Z + 3z + z = 54 Combine like terms: 3z + z = 4z 8 + Z + 4z = 54 Solving 8 + Z + 4z = 54 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + Z + -8 + 4z = 54 + -8 Reorder the terms: 8 + -8 + Z + 4z = 54 + -8 Combine like terms: 8 + -8 = 0 0 + Z + 4z = 54 + -8 Z + 4z = 54 + -8 Combine like terms: 54 + -8 = 46 Z + 4z = 46 Add '-4z' to each side of the equation. Z + 4z + -4z = 46 + -4z Combine like terms: 4z + -4z = 0 Z + 0 = 46 + -4z Z = 46 + -4z Simplifying Z = 46 + -4z
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