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Simplifying (11z + 2) + (19z + -2) + 90 = 180 Reorder the terms: (2 + 11z) + (19z + -2) + 90 = 180 Remove parenthesis around (2 + 11z) 2 + 11z + (19z + -2) + 90 = 180 Reorder the terms: 2 + 11z + (-2 + 19z) + 90 = 180 Remove parenthesis around (-2 + 19z) 2 + 11z + -2 + 19z + 90 = 180 Reorder the terms: 2 + -2 + 90 + 11z + 19z = 180 Combine like terms: 2 + -2 = 0 0 + 90 + 11z + 19z = 180 90 + 11z + 19z = 180 Combine like terms: 11z + 19z = 30z 90 + 30z = 180 Solving 90 + 30z = 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 + 30z = 180 + -90 Combine like terms: 90 + -90 = 0 0 + 30z = 180 + -90 30z = 180 + -90 Combine like terms: 180 + -90 = 90 30z = 90 Divide each side by '30'. z = 3 Simplifying z = 3
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