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Simplifying (10z + 2) + (11z + -6) + 90 = 180 Reorder the terms: (2 + 10z) + (11z + -6) + 90 = 180 Remove parenthesis around (2 + 10z) 2 + 10z + (11z + -6) + 90 = 180 Reorder the terms: 2 + 10z + (-6 + 11z) + 90 = 180 Remove parenthesis around (-6 + 11z) 2 + 10z + -6 + 11z + 90 = 180 Reorder the terms: 2 + -6 + 90 + 10z + 11z = 180 Combine like terms: 2 + -6 = -4 -4 + 90 + 10z + 11z = 180 Combine like terms: -4 + 90 = 86 86 + 10z + 11z = 180 Combine like terms: 10z + 11z = 21z 86 + 21z = 180 Solving 86 + 21z = 180 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-86' to each side of the equation. 86 + -86 + 21z = 180 + -86 Combine like terms: 86 + -86 = 0 0 + 21z = 180 + -86 21z = 180 + -86 Combine like terms: 180 + -86 = 94 21z = 94 Divide each side by '21'. z = 4.476190476 Simplifying z = 4.476190476
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