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Simplifying -1[7z + -1(12z + 3)] = 3 + (4z + 10) Reorder the terms: -1[7z + -1(3 + 12z)] = 3 + (4z + 10) -1[7z + (3 * -1 + 12z * -1)] = 3 + (4z + 10) -1[7z + (-3 + -12z)] = 3 + (4z + 10) Reorder the terms: -1[-3 + 7z + -12z] = 3 + (4z + 10) Combine like terms: 7z + -12z = -5z -1[-3 + -5z] = 3 + (4z + 10) [-3 * -1 + -5z * -1] = 3 + (4z + 10) [3 + 5z] = 3 + (4z + 10) Reorder the terms: 3 + 5z = 3 + (10 + 4z) Remove parenthesis around (10 + 4z) 3 + 5z = 3 + 10 + 4z Combine like terms: 3 + 10 = 13 3 + 5z = 13 + 4z Solving 3 + 5z = 13 + 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. 3 + 5z + -4z = 13 + 4z + -4z Combine like terms: 5z + -4z = 1z 3 + 1z = 13 + 4z + -4z Combine like terms: 4z + -4z = 0 3 + 1z = 13 + 0 3 + 1z = 13 Add '-3' to each side of the equation. 3 + -3 + 1z = 13 + -3 Combine like terms: 3 + -3 = 0 0 + 1z = 13 + -3 1z = 13 + -3 Combine like terms: 13 + -3 = 10 1z = 10 Divide each side by '1'. z = 10 Simplifying z = 10
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