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Simplifying -1[7z + -1(12z + 5)] = 5 + (4z + 4) Reorder the terms: -1[7z + -1(5 + 12z)] = 5 + (4z + 4) -1[7z + (5 * -1 + 12z * -1)] = 5 + (4z + 4) -1[7z + (-5 + -12z)] = 5 + (4z + 4) Reorder the terms: -1[-5 + 7z + -12z] = 5 + (4z + 4) Combine like terms: 7z + -12z = -5z -1[-5 + -5z] = 5 + (4z + 4) [-5 * -1 + -5z * -1] = 5 + (4z + 4) [5 + 5z] = 5 + (4z + 4) Reorder the terms: 5 + 5z = 5 + (4 + 4z) Remove parenthesis around (4 + 4z) 5 + 5z = 5 + 4 + 4z Combine like terms: 5 + 4 = 9 5 + 5z = 9 + 4z Solving 5 + 5z = 9 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 5 + 5z + -4z = 9 + 4z + -4z Combine like terms: 5z + -4z = 1z 5 + 1z = 9 + 4z + -4z Combine like terms: 4z + -4z = 0 5 + 1z = 9 + 0 5 + 1z = 9 Add '-5' to each side of the equation. 5 + -5 + 1z = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 1z = 9 + -5 1z = 9 + -5 Combine like terms: 9 + -5 = 4 1z = 4 Divide each side by '1'. z = 4 Simplifying z = 4
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