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Simplifying -1[6z + -1(14z + 3)] = 3 + (7z + 8) Reorder the terms: -1[6z + -1(3 + 14z)] = 3 + (7z + 8) -1[6z + (3 * -1 + 14z * -1)] = 3 + (7z + 8) -1[6z + (-3 + -14z)] = 3 + (7z + 8) Reorder the terms: -1[-3 + 6z + -14z] = 3 + (7z + 8) Combine like terms: 6z + -14z = -8z -1[-3 + -8z] = 3 + (7z + 8) [-3 * -1 + -8z * -1] = 3 + (7z + 8) [3 + 8z] = 3 + (7z + 8) Reorder the terms: 3 + 8z = 3 + (8 + 7z) Remove parenthesis around (8 + 7z) 3 + 8z = 3 + 8 + 7z Combine like terms: 3 + 8 = 11 3 + 8z = 11 + 7z Solving 3 + 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. 3 + 8z + -7z = 11 + 7z + -7z Combine like terms: 8z + -7z = 1z 3 + 1z = 11 + 7z + -7z Combine like terms: 7z + -7z = 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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