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Simplifying (z + 12) + (4z + -17) + 90 = 180 Reorder the terms: (12 + z) + (4z + -17) + 90 = 180 Remove parenthesis around (12 + z) 12 + z + (4z + -17) + 90 = 180 Reorder the terms: 12 + z + (-17 + 4z) + 90 = 180 Remove parenthesis around (-17 + 4z) 12 + z + -17 + 4z + 90 = 180 Reorder the terms: 12 + -17 + 90 + z + 4z = 180 Combine like terms: 12 + -17 = -5 -5 + 90 + z + 4z = 180 Combine like terms: -5 + 90 = 85 85 + z + 4z = 180 Combine like terms: z + 4z = 5z 85 + 5z = 180 Solving 85 + 5z = 180 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-85' to each side of the equation. 85 + -85 + 5z = 180 + -85 Combine like terms: 85 + -85 = 0 0 + 5z = 180 + -85 5z = 180 + -85 Combine like terms: 180 + -85 = 95 5z = 95 Divide each side by '5'. z = 19 Simplifying z = 19
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