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Simplifying (2z + 11) + (3z + -11) + 90 = 180 Reorder the terms: (11 + 2z) + (3z + -11) + 90 = 180 Remove parenthesis around (11 + 2z) 11 + 2z + (3z + -11) + 90 = 180 Reorder the terms: 11 + 2z + (-11 + 3z) + 90 = 180 Remove parenthesis around (-11 + 3z) 11 + 2z + -11 + 3z + 90 = 180 Reorder the terms: 11 + -11 + 90 + 2z + 3z = 180 Combine like terms: 11 + -11 = 0 0 + 90 + 2z + 3z = 180 90 + 2z + 3z = 180 Combine like terms: 2z + 3z = 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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