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Simplifying (3z + 5) + (8z + -3) + 90 = 180 Reorder the terms: (5 + 3z) + (8z + -3) + 90 = 180 Remove parenthesis around (5 + 3z) 5 + 3z + (8z + -3) + 90 = 180 Reorder the terms: 5 + 3z + (-3 + 8z) + 90 = 180 Remove parenthesis around (-3 + 8z) 5 + 3z + -3 + 8z + 90 = 180 Reorder the terms: 5 + -3 + 90 + 3z + 8z = 180 Combine like terms: 5 + -3 = 2 2 + 90 + 3z + 8z = 180 Combine like terms: 2 + 90 = 92 92 + 3z + 8z = 180 Combine like terms: 3z + 8z = 11z 92 + 11z = 180 Solving 92 + 11z = 180 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-92' to each side of the equation. 92 + -92 + 11z = 180 + -92 Combine like terms: 92 + -92 = 0 0 + 11z = 180 + -92 11z = 180 + -92 Combine like terms: 180 + -92 = 88 11z = 88 Divide each side by '11'. z = 8 Simplifying z = 8
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