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