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Simplifying -1[7z + -1(12z + 10)] = 10 + (4z + 2) Reorder the terms: -1[7z + -1(10 + 12z)] = 10 + (4z + 2) -1[7z + (10 * -1 + 12z * -1)] = 10 + (4z + 2) -1[7z + (-10 + -12z)] = 10 + (4z + 2) Reorder the terms: -1[-10 + 7z + -12z] = 10 + (4z + 2) Combine like terms: 7z + -12z = -5z -1[-10 + -5z] = 10 + (4z + 2) [-10 * -1 + -5z * -1] = 10 + (4z + 2) [10 + 5z] = 10 + (4z + 2) Reorder the terms: 10 + 5z = 10 + (2 + 4z) Remove parenthesis around (2 + 4z) 10 + 5z = 10 + 2 + 4z Combine like terms: 10 + 2 = 12 10 + 5z = 12 + 4z Solving 10 + 5z = 12 + 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. 10 + 5z + -4z = 12 + 4z + -4z Combine like terms: 5z + -4z = 1z 10 + 1z = 12 + 4z + -4z Combine like terms: 4z + -4z = 0 10 + 1z = 12 + 0 10 + 1z = 12 Add '-10' to each side of the equation. 10 + -10 + 1z = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 1z = 12 + -10 1z = 12 + -10 Combine like terms: 12 + -10 = 2 1z = 2 Divide each side by '1'. z = 2 Simplifying z = 2
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