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Simplifying -1[6z + -1(14z + 7)] = 7 + (7z + 2) Reorder the terms: -1[6z + -1(7 + 14z)] = 7 + (7z + 2) -1[6z + (7 * -1 + 14z * -1)] = 7 + (7z + 2) -1[6z + (-7 + -14z)] = 7 + (7z + 2) Reorder the terms: -1[-7 + 6z + -14z] = 7 + (7z + 2) Combine like terms: 6z + -14z = -8z -1[-7 + -8z] = 7 + (7z + 2) [-7 * -1 + -8z * -1] = 7 + (7z + 2) [7 + 8z] = 7 + (7z + 2) Reorder the terms: 7 + 8z = 7 + (2 + 7z) Remove parenthesis around (2 + 7z) 7 + 8z = 7 + 2 + 7z Combine like terms: 7 + 2 = 9 7 + 8z = 9 + 7z Solving 7 + 8z = 9 + 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. 7 + 8z + -7z = 9 + 7z + -7z Combine like terms: 8z + -7z = 1z 7 + 1z = 9 + 7z + -7z Combine like terms: 7z + -7z = 0 7 + 1z = 9 + 0 7 + 1z = 9 Add '-7' to each side of the equation. 7 + -7 + 1z = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 1z = 9 + -7 1z = 9 + -7 Combine like terms: 9 + -7 = 2 1z = 2 Divide each side by '1'. z = 2 Simplifying z = 2
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