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Simplifying -1[8z + -1(13z + 2)] = 2 + (4z + 10) Reorder the terms: -1[8z + -1(2 + 13z)] = 2 + (4z + 10) -1[8z + (2 * -1 + 13z * -1)] = 2 + (4z + 10) -1[8z + (-2 + -13z)] = 2 + (4z + 10) Reorder the terms: -1[-2 + 8z + -13z] = 2 + (4z + 10) Combine like terms: 8z + -13z = -5z -1[-2 + -5z] = 2 + (4z + 10) [-2 * -1 + -5z * -1] = 2 + (4z + 10) [2 + 5z] = 2 + (4z + 10) Reorder the terms: 2 + 5z = 2 + (10 + 4z) Remove parenthesis around (10 + 4z) 2 + 5z = 2 + 10 + 4z Combine like terms: 2 + 10 = 12 2 + 5z = 12 + 4z Solving 2 + 5z = 12 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 2 + 5z + -4z = 12 + 4z + -4z Combine like terms: 5z + -4z = 1z 2 + 1z = 12 + 4z + -4z Combine like terms: 4z + -4z = 0 2 + 1z = 12 + 0 2 + 1z = 12 Add '-2' to each side of the equation. 2 + -2 + 1z = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 1z = 12 + -2 1z = 12 + -2 Combine like terms: 12 + -2 = 10 1z = 10 Divide each side by '1'. z = 10 Simplifying z = 10
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