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Simplifying (z + 21) + (z + 84) = 168 Reorder the terms: (21 + z) + (z + 84) = 168 Remove parenthesis around (21 + z) 21 + z + (z + 84) = 168 Reorder the terms: 21 + z + (84 + z) = 168 Remove parenthesis around (84 + z) 21 + z + 84 + z = 168 Reorder the terms: 21 + 84 + z + z = 168 Combine like terms: 21 + 84 = 105 105 + z + z = 168 Combine like terms: z + z = 2z 105 + 2z = 168 Solving 105 + 2z = 168 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-105' to each side of the equation. 105 + -105 + 2z = 168 + -105 Combine like terms: 105 + -105 = 0 0 + 2z = 168 + -105 2z = 168 + -105 Combine like terms: 168 + -105 = 63 2z = 63 Divide each side by '2'. z = 31.5 Simplifying z = 31.5
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