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Simplifying (2z + 10) + (4z + -16) + 90 = 180 Reorder the terms: (10 + 2z) + (4z + -16) + 90 = 180 Remove parenthesis around (10 + 2z) 10 + 2z + (4z + -16) + 90 = 180 Reorder the terms: 10 + 2z + (-16 + 4z) + 90 = 180 Remove parenthesis around (-16 + 4z) 10 + 2z + -16 + 4z + 90 = 180 Reorder the terms: 10 + -16 + 90 + 2z + 4z = 180 Combine like terms: 10 + -16 = -6 -6 + 90 + 2z + 4z = 180 Combine like terms: -6 + 90 = 84 84 + 2z + 4z = 180 Combine like terms: 2z + 4z = 6z 84 + 6z = 180 Solving 84 + 6z = 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 + 6z = 180 + -84 Combine like terms: 84 + -84 = 0 0 + 6z = 180 + -84 6z = 180 + -84 Combine like terms: 180 + -84 = 96 6z = 96 Divide each side by '6'. z = 16 Simplifying z = 16
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