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Simplifying -1[7z + -1(12z + 4)] = 4 + (4z + 1) Reorder the terms: -1[7z + -1(4 + 12z)] = 4 + (4z + 1) -1[7z + (4 * -1 + 12z * -1)] = 4 + (4z + 1) -1[7z + (-4 + -12z)] = 4 + (4z + 1) Reorder the terms: -1[-4 + 7z + -12z] = 4 + (4z + 1) Combine like terms: 7z + -12z = -5z -1[-4 + -5z] = 4 + (4z + 1) [-4 * -1 + -5z * -1] = 4 + (4z + 1) [4 + 5z] = 4 + (4z + 1) Reorder the terms: 4 + 5z = 4 + (1 + 4z) Remove parenthesis around (1 + 4z) 4 + 5z = 4 + 1 + 4z Combine like terms: 4 + 1 = 5 4 + 5z = 5 + 4z Solving 4 + 5z = 5 + 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. 4 + 5z + -4z = 5 + 4z + -4z Combine like terms: 5z + -4z = 1z 4 + 1z = 5 + 4z + -4z Combine like terms: 4z + -4z = 0 4 + 1z = 5 + 0 4 + 1z = 5 Add '-4' to each side of the equation. 4 + -4 + 1z = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 1z = 5 + -4 1z = 5 + -4 Combine like terms: 5 + -4 = 1 1z = 1 Divide each side by '1'. z = 1 Simplifying z = 1
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