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Simplifying 360 = (z + 45) + z + 74 + 78 + 55 Reorder the terms: 360 = (45 + z) + z + 74 + 78 + 55 Remove parenthesis around (45 + z) 360 = 45 + z + z + 74 + 78 + 55 Reorder the terms: 360 = 45 + 74 + 78 + 55 + z + z Combine like terms: 45 + 74 = 119 360 = 119 + 78 + 55 + z + z Combine like terms: 119 + 78 = 197 360 = 197 + 55 + z + z Combine like terms: 197 + 55 = 252 360 = 252 + z + z Combine like terms: z + z = 2z 360 = 252 + 2z Solving 360 = 252 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 360 + -2z = 252 + 2z + -2z Combine like terms: 2z + -2z = 0 360 + -2z = 252 + 0 360 + -2z = 252 Add '-360' to each side of the equation. 360 + -360 + -2z = 252 + -360 Combine like terms: 360 + -360 = 0 0 + -2z = 252 + -360 -2z = 252 + -360 Combine like terms: 252 + -360 = -108 -2z = -108 Divide each side by '-2'. z = 54 Simplifying z = 54
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