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Simplifying -1[8z + -1(12z + 3)] = 3 + (3z + 8) Reorder the terms: -1[8z + -1(3 + 12z)] = 3 + (3z + 8) -1[8z + (3 * -1 + 12z * -1)] = 3 + (3z + 8) -1[8z + (-3 + -12z)] = 3 + (3z + 8) Reorder the terms: -1[-3 + 8z + -12z] = 3 + (3z + 8) Combine like terms: 8z + -12z = -4z -1[-3 + -4z] = 3 + (3z + 8) [-3 * -1 + -4z * -1] = 3 + (3z + 8) [3 + 4z] = 3 + (3z + 8) Reorder the terms: 3 + 4z = 3 + (8 + 3z) Remove parenthesis around (8 + 3z) 3 + 4z = 3 + 8 + 3z Combine like terms: 3 + 8 = 11 3 + 4z = 11 + 3z Solving 3 + 4z = 11 + 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. 3 + 4z + -3z = 11 + 3z + -3z Combine like terms: 4z + -3z = 1z 3 + 1z = 11 + 3z + -3z Combine like terms: 3z + -3z = 0 3 + 1z = 11 + 0 3 + 1z = 11 Add '-3' to each side of the equation. 3 + -3 + 1z = 11 + -3 Combine like terms: 3 + -3 = 0 0 + 1z = 11 + -3 1z = 11 + -3 Combine like terms: 11 + -3 = 8 1z = 8 Divide each side by '1'. z = 8 Simplifying z = 8
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