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Simplifying -1[5z + -1(14z + 5)] = 5 + (8z + 3) Reorder the terms: -1[5z + -1(5 + 14z)] = 5 + (8z + 3) -1[5z + (5 * -1 + 14z * -1)] = 5 + (8z + 3) -1[5z + (-5 + -14z)] = 5 + (8z + 3) Reorder the terms: -1[-5 + 5z + -14z] = 5 + (8z + 3) Combine like terms: 5z + -14z = -9z -1[-5 + -9z] = 5 + (8z + 3) [-5 * -1 + -9z * -1] = 5 + (8z + 3) [5 + 9z] = 5 + (8z + 3) Reorder the terms: 5 + 9z = 5 + (3 + 8z) Remove parenthesis around (3 + 8z) 5 + 9z = 5 + 3 + 8z Combine like terms: 5 + 3 = 8 5 + 9z = 8 + 8z Solving 5 + 9z = 8 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 5 + 9z + -8z = 8 + 8z + -8z Combine like terms: 9z + -8z = 1z 5 + 1z = 8 + 8z + -8z Combine like terms: 8z + -8z = 0 5 + 1z = 8 + 0 5 + 1z = 8 Add '-5' to each side of the equation. 5 + -5 + 1z = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 1z = 8 + -5 1z = 8 + -5 Combine like terms: 8 + -5 = 3 1z = 3 Divide each side by '1'. z = 3 Simplifying z = 3
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