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Simplifying -1[7z + -1(13z + 2)] = 2 + (5z + 7) Reorder the terms: -1[7z + -1(2 + 13z)] = 2 + (5z + 7) -1[7z + (2 * -1 + 13z * -1)] = 2 + (5z + 7) -1[7z + (-2 + -13z)] = 2 + (5z + 7) Reorder the terms: -1[-2 + 7z + -13z] = 2 + (5z + 7) Combine like terms: 7z + -13z = -6z -1[-2 + -6z] = 2 + (5z + 7) [-2 * -1 + -6z * -1] = 2 + (5z + 7) [2 + 6z] = 2 + (5z + 7) Reorder the terms: 2 + 6z = 2 + (7 + 5z) Remove parenthesis around (7 + 5z) 2 + 6z = 2 + 7 + 5z Combine like terms: 2 + 7 = 9 2 + 6z = 9 + 5z Solving 2 + 6z = 9 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 2 + 6z + -5z = 9 + 5z + -5z Combine like terms: 6z + -5z = 1z 2 + 1z = 9 + 5z + -5z Combine like terms: 5z + -5z = 0 2 + 1z = 9 + 0 2 + 1z = 9 Add '-2' to each side of the equation. 2 + -2 + 1z = 9 + -2 Combine like terms: 2 + -2 = 0 0 + 1z = 9 + -2 1z = 9 + -2 Combine like terms: 9 + -2 = 7 1z = 7 Divide each side by '1'. z = 7 Simplifying z = 7
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