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Simplifying -1[6z + -1(12z + 5)] = (5z + 4) Reorder the terms: -1[6z + -1(5 + 12z)] = (5z + 4) -1[6z + (5 * -1 + 12z * -1)] = (5z + 4) -1[6z + (-5 + -12z)] = (5z + 4) Reorder the terms: -1[-5 + 6z + -12z] = (5z + 4) Combine like terms: 6z + -12z = -6z -1[-5 + -6z] = (5z + 4) [-5 * -1 + -6z * -1] = (5z + 4) [5 + 6z] = (5z + 4) Reorder the terms: 5 + 6z = (4 + 5z) Remove parenthesis around (4 + 5z) 5 + 6z = 4 + 5z Solving 5 + 6z = 4 + 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. 5 + 6z + -5z = 4 + 5z + -5z Combine like terms: 6z + -5z = 1z 5 + 1z = 4 + 5z + -5z Combine like terms: 5z + -5z = 0 5 + 1z = 4 + 0 5 + 1z = 4 Add '-5' to each side of the equation. 5 + -5 + 1z = 4 + -5 Combine like terms: 5 + -5 = 0 0 + 1z = 4 + -5 1z = 4 + -5 Combine like terms: 4 + -5 = -1 1z = -1 Divide each side by '1'. z = -1 Simplifying z = -1
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