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Simplifying -1[7z + -1(13z + 8)] = 8 + (5z + 4) Reorder the terms: -1[7z + -1(8 + 13z)] = 8 + (5z + 4) -1[7z + (8 * -1 + 13z * -1)] = 8 + (5z + 4) -1[7z + (-8 + -13z)] = 8 + (5z + 4) Reorder the terms: -1[-8 + 7z + -13z] = 8 + (5z + 4) Combine like terms: 7z + -13z = -6z -1[-8 + -6z] = 8 + (5z + 4) [-8 * -1 + -6z * -1] = 8 + (5z + 4) [8 + 6z] = 8 + (5z + 4) Reorder the terms: 8 + 6z = 8 + (4 + 5z) Remove parenthesis around (4 + 5z) 8 + 6z = 8 + 4 + 5z Combine like terms: 8 + 4 = 12 8 + 6z = 12 + 5z Solving 8 + 6z = 12 + 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. 8 + 6z + -5z = 12 + 5z + -5z Combine like terms: 6z + -5z = 1z 8 + 1z = 12 + 5z + -5z Combine like terms: 5z + -5z = 0 8 + 1z = 12 + 0 8 + 1z = 12 Add '-8' to each side of the equation. 8 + -8 + 1z = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 1z = 12 + -8 1z = 12 + -8 Combine like terms: 12 + -8 = 4 1z = 4 Divide each side by '1'. z = 4 Simplifying z = 4
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