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Simplifying (z + 12) + (4z + -7) + 90 = 180 Reorder the terms: (12 + z) + (4z + -7) + 90 = 180 Remove parenthesis around (12 + z) 12 + z + (4z + -7) + 90 = 180 Reorder the terms: 12 + z + (-7 + 4z) + 90 = 180 Remove parenthesis around (-7 + 4z) 12 + z + -7 + 4z + 90 = 180 Reorder the terms: 12 + -7 + 90 + z + 4z = 180 Combine like terms: 12 + -7 = 5 5 + 90 + z + 4z = 180 Combine like terms: 5 + 90 = 95 95 + z + 4z = 180 Combine like terms: z + 4z = 5z 95 + 5z = 180 Solving 95 + 5z = 180 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-95' to each side of the equation. 95 + -95 + 5z = 180 + -95 Combine like terms: 95 + -95 = 0 0 + 5z = 180 + -95 5z = 180 + -95 Combine like terms: 180 + -95 = 85 5z = 85 Divide each side by '5'. z = 17 Simplifying z = 17
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