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Simplifying (20z + 49) + (z + 38) = 360 Reorder the terms: (49 + 20z) + (z + 38) = 360 Remove parenthesis around (49 + 20z) 49 + 20z + (z + 38) = 360 Reorder the terms: 49 + 20z + (38 + z) = 360 Remove parenthesis around (38 + z) 49 + 20z + 38 + z = 360 Reorder the terms: 49 + 38 + 20z + z = 360 Combine like terms: 49 + 38 = 87 87 + 20z + z = 360 Combine like terms: 20z + z = 21z 87 + 21z = 360 Solving 87 + 21z = 360 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-87' to each side of the equation. 87 + -87 + 21z = 360 + -87 Combine like terms: 87 + -87 = 0 0 + 21z = 360 + -87 21z = 360 + -87 Combine like terms: 360 + -87 = 273 21z = 273 Divide each side by '21'. z = 13 Simplifying z = 13
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