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Simplifying (8z + -12) + (5z + 10) + 90 = 180 Reorder the terms: (-12 + 8z) + (5z + 10) + 90 = 180 Remove parenthesis around (-12 + 8z) -12 + 8z + (5z + 10) + 90 = 180 Reorder the terms: -12 + 8z + (10 + 5z) + 90 = 180 Remove parenthesis around (10 + 5z) -12 + 8z + 10 + 5z + 90 = 180 Reorder the terms: -12 + 10 + 90 + 8z + 5z = 180 Combine like terms: -12 + 10 = -2 -2 + 90 + 8z + 5z = 180 Combine like terms: -2 + 90 = 88 88 + 8z + 5z = 180 Combine like terms: 8z + 5z = 13z 88 + 13z = 180 Solving 88 + 13z = 180 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-88' to each side of the equation. 88 + -88 + 13z = 180 + -88 Combine like terms: 88 + -88 = 0 0 + 13z = 180 + -88 13z = 180 + -88 Combine like terms: 180 + -88 = 92 13z = 92 Divide each side by '13'. z = 7.076923077 Simplifying z = 7.076923077
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