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Simplifying (12z + 9) + -1(2z + -8) = z Reorder the terms: (9 + 12z) + -1(2z + -8) = z Remove parenthesis around (9 + 12z) 9 + 12z + -1(2z + -8) = z Reorder the terms: 9 + 12z + -1(-8 + 2z) = z 9 + 12z + (-8 * -1 + 2z * -1) = z 9 + 12z + (8 + -2z) = z Reorder the terms: 9 + 8 + 12z + -2z = z Combine like terms: 9 + 8 = 17 17 + 12z + -2z = z Combine like terms: 12z + -2z = 10z 17 + 10z = z Solving 17 + 10z = z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 17 + 10z + -1z = z + -1z Combine like terms: 10z + -1z = 9z 17 + 9z = z + -1z Combine like terms: z + -1z = 0 17 + 9z = 0 Add '-17' to each side of the equation. 17 + -17 + 9z = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 9z = 0 + -17 9z = 0 + -17 Combine like terms: 0 + -17 = -17 9z = -17 Divide each side by '9'. z = -1.888888889 Simplifying z = -1.888888889
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