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Simplifying -1[4z + -1(14z + 8)] = 8 + (9z + 6) Reorder the terms: -1[4z + -1(8 + 14z)] = 8 + (9z + 6) -1[4z + (8 * -1 + 14z * -1)] = 8 + (9z + 6) -1[4z + (-8 + -14z)] = 8 + (9z + 6) Reorder the terms: -1[-8 + 4z + -14z] = 8 + (9z + 6) Combine like terms: 4z + -14z = -10z -1[-8 + -10z] = 8 + (9z + 6) [-8 * -1 + -10z * -1] = 8 + (9z + 6) [8 + 10z] = 8 + (9z + 6) Reorder the terms: 8 + 10z = 8 + (6 + 9z) Remove parenthesis around (6 + 9z) 8 + 10z = 8 + 6 + 9z Combine like terms: 8 + 6 = 14 8 + 10z = 14 + 9z Solving 8 + 10z = 14 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 8 + 10z + -9z = 14 + 9z + -9z Combine like terms: 10z + -9z = 1z 8 + 1z = 14 + 9z + -9z Combine like terms: 9z + -9z = 0 8 + 1z = 14 + 0 8 + 1z = 14 Add '-8' to each side of the equation. 8 + -8 + 1z = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 1z = 14 + -8 1z = 14 + -8 Combine like terms: 14 + -8 = 6 1z = 6 Divide each side by '1'. z = 6 Simplifying z = 6
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