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Simplifying (z + 50) + (z + 10) + 4z = 180 Reorder the terms: (50 + z) + (z + 10) + 4z = 180 Remove parenthesis around (50 + z) 50 + z + (z + 10) + 4z = 180 Reorder the terms: 50 + z + (10 + z) + 4z = 180 Remove parenthesis around (10 + z) 50 + z + 10 + z + 4z = 180 Reorder the terms: 50 + 10 + z + z + 4z = 180 Combine like terms: 50 + 10 = 60 60 + z + z + 4z = 180 Combine like terms: z + z = 2z 60 + 2z + 4z = 180 Combine like terms: 2z + 4z = 6z 60 + 6z = 180 Solving 60 + 6z = 180 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 6z = 180 + -60 Combine like terms: 60 + -60 = 0 0 + 6z = 180 + -60 6z = 180 + -60 Combine like terms: 180 + -60 = 120 6z = 120 Divide each side by '6'. z = 20 Simplifying z = 20
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