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Simplifying 180 = (8z + -19) + (2z + -2) + (z + 14) Reorder the terms: 180 = (-19 + 8z) + (2z + -2) + (z + 14) Remove parenthesis around (-19 + 8z) 180 = -19 + 8z + (2z + -2) + (z + 14) Reorder the terms: 180 = -19 + 8z + (-2 + 2z) + (z + 14) Remove parenthesis around (-2 + 2z) 180 = -19 + 8z + -2 + 2z + (z + 14) Reorder the terms: 180 = -19 + 8z + -2 + 2z + (14 + z) Remove parenthesis around (14 + z) 180 = -19 + 8z + -2 + 2z + 14 + z Reorder the terms: 180 = -19 + -2 + 14 + 8z + 2z + z Combine like terms: -19 + -2 = -21 180 = -21 + 14 + 8z + 2z + z Combine like terms: -21 + 14 = -7 180 = -7 + 8z + 2z + z Combine like terms: 8z + 2z = 10z 180 = -7 + 10z + z Combine like terms: 10z + z = 11z 180 = -7 + 11z Solving 180 = -7 + 11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11z' to each side of the equation. 180 + -11z = -7 + 11z + -11z Combine like terms: 11z + -11z = 0 180 + -11z = -7 + 0 180 + -11z = -7 Add '-180' to each side of the equation. 180 + -180 + -11z = -7 + -180 Combine like terms: 180 + -180 = 0 0 + -11z = -7 + -180 -11z = -7 + -180 Combine like terms: -7 + -180 = -187 -11z = -187 Divide each side by '-11'. z = 17 Simplifying z = 17
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