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Simplifying -1[3z + -1(12z + 2)] = 2 + (8z + 8) Reorder the terms: -1[3z + -1(2 + 12z)] = 2 + (8z + 8) -1[3z + (2 * -1 + 12z * -1)] = 2 + (8z + 8) -1[3z + (-2 + -12z)] = 2 + (8z + 8) Reorder the terms: -1[-2 + 3z + -12z] = 2 + (8z + 8) Combine like terms: 3z + -12z = -9z -1[-2 + -9z] = 2 + (8z + 8) [-2 * -1 + -9z * -1] = 2 + (8z + 8) [2 + 9z] = 2 + (8z + 8) Reorder the terms: 2 + 9z = 2 + (8 + 8z) Remove parenthesis around (8 + 8z) 2 + 9z = 2 + 8 + 8z Combine like terms: 2 + 8 = 10 2 + 9z = 10 + 8z Solving 2 + 9z = 10 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 2 + 9z + -8z = 10 + 8z + -8z Combine like terms: 9z + -8z = 1z 2 + 1z = 10 + 8z + -8z Combine like terms: 8z + -8z = 0 2 + 1z = 10 + 0 2 + 1z = 10 Add '-2' to each side of the equation. 2 + -2 + 1z = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 1z = 10 + -2 1z = 10 + -2 Combine like terms: 10 + -2 = 8 1z = 8 Divide each side by '1'. z = 8 Simplifying z = 8
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