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Simplifying (z + 45) + 55 + 78 + 74 + z = 540 Reorder the terms: (45 + z) + 55 + 78 + 74 + z = 540 Remove parenthesis around (45 + z) 45 + z + 55 + 78 + 74 + z = 540 Reorder the terms: 45 + 55 + 78 + 74 + z + z = 540 Combine like terms: 45 + 55 = 100 100 + 78 + 74 + z + z = 540 Combine like terms: 100 + 78 = 178 178 + 74 + z + z = 540 Combine like terms: 178 + 74 = 252 252 + z + z = 540 Combine like terms: z + z = 2z 252 + 2z = 540 Solving 252 + 2z = 540 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-252' to each side of the equation. 252 + -252 + 2z = 540 + -252 Combine like terms: 252 + -252 = 0 0 + 2z = 540 + -252 2z = 540 + -252 Combine like terms: 540 + -252 = 288 2z = 288 Divide each side by '2'. z = 144 Simplifying z = 144
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