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Simplifying (z + 12) + (4z + -12) + 90 = 180 Reorder the terms: (12 + z) + (4z + -12) + 90 = 180 Remove parenthesis around (12 + z) 12 + z + (4z + -12) + 90 = 180 Reorder the terms: 12 + z + (-12 + 4z) + 90 = 180 Remove parenthesis around (-12 + 4z) 12 + z + -12 + 4z + 90 = 180 Reorder the terms: 12 + -12 + 90 + z + 4z = 180 Combine like terms: 12 + -12 = 0 0 + 90 + z + 4z = 180 90 + z + 4z = 180 Combine like terms: z + 4z = 5z 90 + 5z = 180 Solving 90 + 5z = 180 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + 5z = 180 + -90 Combine like terms: 90 + -90 = 0 0 + 5z = 180 + -90 5z = 180 + -90 Combine like terms: 180 + -90 = 90 5z = 90 Divide each side by '5'. z = 18 Simplifying z = 18
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