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Simplifying -1[-4z + -1(10z + 2)] = 2 + (5z + 6) Reorder the terms: -1[-4z + -1(2 + 10z)] = 2 + (5z + 6) -1[-4z + (2 * -1 + 10z * -1)] = 2 + (5z + 6) -1[-4z + (-2 + -10z)] = 2 + (5z + 6) Reorder the terms: -1[-2 + -4z + -10z] = 2 + (5z + 6) Combine like terms: -4z + -10z = -14z -1[-2 + -14z] = 2 + (5z + 6) [-2 * -1 + -14z * -1] = 2 + (5z + 6) [2 + 14z] = 2 + (5z + 6) Reorder the terms: 2 + 14z = 2 + (6 + 5z) Remove parenthesis around (6 + 5z) 2 + 14z = 2 + 6 + 5z Combine like terms: 2 + 6 = 8 2 + 14z = 8 + 5z Solving 2 + 14z = 8 + 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 + 14z + -5z = 8 + 5z + -5z Combine like terms: 14z + -5z = 9z 2 + 9z = 8 + 5z + -5z Combine like terms: 5z + -5z = 0 2 + 9z = 8 + 0 2 + 9z = 8 Add '-2' to each side of the equation. 2 + -2 + 9z = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 9z = 8 + -2 9z = 8 + -2 Combine like terms: 8 + -2 = 6 9z = 6 Divide each side by '9'. z = 0.6666666667 Simplifying z = 0.6666666667
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