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Simplifying (5z + 10) + (6z + 16) = 180 Reorder the terms: (10 + 5z) + (6z + 16) = 180 Remove parenthesis around (10 + 5z) 10 + 5z + (6z + 16) = 180 Reorder the terms: 10 + 5z + (16 + 6z) = 180 Remove parenthesis around (16 + 6z) 10 + 5z + 16 + 6z = 180 Reorder the terms: 10 + 16 + 5z + 6z = 180 Combine like terms: 10 + 16 = 26 26 + 5z + 6z = 180 Combine like terms: 5z + 6z = 11z 26 + 11z = 180 Solving 26 + 11z = 180 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 11z = 180 + -26 Combine like terms: 26 + -26 = 0 0 + 11z = 180 + -26 11z = 180 + -26 Combine like terms: 180 + -26 = 154 11z = 154 Divide each side by '11'. z = 14 Simplifying z = 14
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