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Simplifying 55 + 78 + 74 + (z + 45) + z = 360 Reorder the terms: 55 + 78 + 74 + (45 + z) + z = 360 Remove parenthesis around (45 + z) 55 + 78 + 74 + 45 + z + z = 360 Combine like terms: 55 + 78 = 133 133 + 74 + 45 + z + z = 360 Combine like terms: 133 + 74 = 207 207 + 45 + z + z = 360 Combine like terms: 207 + 45 = 252 252 + z + z = 360 Combine like terms: z + z = 2z 252 + 2z = 360 Solving 252 + 2z = 360 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 = 360 + -252 Combine like terms: 252 + -252 = 0 0 + 2z = 360 + -252 2z = 360 + -252 Combine like terms: 360 + -252 = 108 2z = 108 Divide each side by '2'. z = 54 Simplifying z = 54
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