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Simplifying -1[8z + -1(12z + 8)] = 8 + (3z + 9) Reorder the terms: -1[8z + -1(8 + 12z)] = 8 + (3z + 9) -1[8z + (8 * -1 + 12z * -1)] = 8 + (3z + 9) -1[8z + (-8 + -12z)] = 8 + (3z + 9) Reorder the terms: -1[-8 + 8z + -12z] = 8 + (3z + 9) Combine like terms: 8z + -12z = -4z -1[-8 + -4z] = 8 + (3z + 9) [-8 * -1 + -4z * -1] = 8 + (3z + 9) [8 + 4z] = 8 + (3z + 9) Reorder the terms: 8 + 4z = 8 + (9 + 3z) Remove parenthesis around (9 + 3z) 8 + 4z = 8 + 9 + 3z Combine like terms: 8 + 9 = 17 8 + 4z = 17 + 3z Solving 8 + 4z = 17 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 8 + 4z + -3z = 17 + 3z + -3z Combine like terms: 4z + -3z = 1z 8 + 1z = 17 + 3z + -3z Combine like terms: 3z + -3z = 0 8 + 1z = 17 + 0 8 + 1z = 17 Add '-8' to each side of the equation. 8 + -8 + 1z = 17 + -8 Combine like terms: 8 + -8 = 0 0 + 1z = 17 + -8 1z = 17 + -8 Combine like terms: 17 + -8 = 9 1z = 9 Divide each side by '1'. z = 9 Simplifying z = 9
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