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