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