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Simplifying -1[10z + -1(14z + 2)] = 2 + (3z + 10) Reorder the terms: -1[10z + -1(2 + 14z)] = 2 + (3z + 10) -1[10z + (2 * -1 + 14z * -1)] = 2 + (3z + 10) -1[10z + (-2 + -14z)] = 2 + (3z + 10) Reorder the terms: -1[-2 + 10z + -14z] = 2 + (3z + 10) Combine like terms: 10z + -14z = -4z -1[-2 + -4z] = 2 + (3z + 10) [-2 * -1 + -4z * -1] = 2 + (3z + 10) [2 + 4z] = 2 + (3z + 10) Reorder the terms: 2 + 4z = 2 + (10 + 3z) Remove parenthesis around (10 + 3z) 2 + 4z = 2 + 10 + 3z Combine like terms: 2 + 10 = 12 2 + 4z = 12 + 3z Solving 2 + 4z = 12 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 2 + 4z + -3z = 12 + 3z + -3z Combine like terms: 4z + -3z = 1z 2 + 1z = 12 + 3z + -3z Combine like terms: 3z + -3z = 0 2 + 1z = 12 + 0 2 + 1z = 12 Add '-2' to each side of the equation. 2 + -2 + 1z = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 1z = 12 + -2 1z = 12 + -2 Combine like terms: 12 + -2 = 10 1z = 10 Divide each side by '1'. z = 10 Simplifying z = 10
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