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Simplifying -2(1 + -1z) + 4z = 3z + -14 (1 * -2 + -1z * -2) + 4z = 3z + -14 (-2 + 2z) + 4z = 3z + -14 Combine like terms: 2z + 4z = 6z -2 + 6z = 3z + -14 Reorder the terms: -2 + 6z = -14 + 3z Solving -2 + 6z = -14 + 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 + 6z + -3z = -14 + 3z + -3z Combine like terms: 6z + -3z = 3z -2 + 3z = -14 + 3z + -3z Combine like terms: 3z + -3z = 0 -2 + 3z = -14 + 0 -2 + 3z = -14 Add '2' to each side of the equation. -2 + 2 + 3z = -14 + 2 Combine like terms: -2 + 2 = 0 0 + 3z = -14 + 2 3z = -14 + 2 Combine like terms: -14 + 2 = -12 3z = -12 Divide each side by '3'. z = -4 Simplifying z = -4
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