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Simplifying -1[4z + -1(12z + 8)] = 8 + (7z + 3) Reorder the terms: -1[4z + -1(8 + 12z)] = 8 + (7z + 3) -1[4z + (8 * -1 + 12z * -1)] = 8 + (7z + 3) -1[4z + (-8 + -12z)] = 8 + (7z + 3) Reorder the terms: -1[-8 + 4z + -12z] = 8 + (7z + 3) Combine like terms: 4z + -12z = -8z -1[-8 + -8z] = 8 + (7z + 3) [-8 * -1 + -8z * -1] = 8 + (7z + 3) [8 + 8z] = 8 + (7z + 3) Reorder the terms: 8 + 8z = 8 + (3 + 7z) Remove parenthesis around (3 + 7z) 8 + 8z = 8 + 3 + 7z Combine like terms: 8 + 3 = 11 8 + 8z = 11 + 7z Solving 8 + 8z = 11 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 8 + 8z + -7z = 11 + 7z + -7z Combine like terms: 8z + -7z = 1z 8 + 1z = 11 + 7z + -7z Combine like terms: 7z + -7z = 0 8 + 1z = 11 + 0 8 + 1z = 11 Add '-8' to each side of the equation. 8 + -8 + 1z = 11 + -8 Combine like terms: 8 + -8 = 0 0 + 1z = 11 + -8 1z = 11 + -8 Combine like terms: 11 + -8 = 3 1z = 3 Divide each side by '1'. z = 3 Simplifying z = 3
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