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Simplifying (4z + 2) + (8z + -8) + 90 = 180 Reorder the terms: (2 + 4z) + (8z + -8) + 90 = 180 Remove parenthesis around (2 + 4z) 2 + 4z + (8z + -8) + 90 = 180 Reorder the terms: 2 + 4z + (-8 + 8z) + 90 = 180 Remove parenthesis around (-8 + 8z) 2 + 4z + -8 + 8z + 90 = 180 Reorder the terms: 2 + -8 + 90 + 4z + 8z = 180 Combine like terms: 2 + -8 = -6 -6 + 90 + 4z + 8z = 180 Combine like terms: -6 + 90 = 84 84 + 4z + 8z = 180 Combine like terms: 4z + 8z = 12z 84 + 12z = 180 Solving 84 + 12z = 180 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + 12z = 180 + -84 Combine like terms: 84 + -84 = 0 0 + 12z = 180 + -84 12z = 180 + -84 Combine like terms: 180 + -84 = 96 12z = 96 Divide each side by '12'. z = 8 Simplifying z = 8
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