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Simplifying 12 = -2(-9 + -3z) 12 = (-9 * -2 + -3z * -2) 12 = (18 + 6z) Solving 12 = 18 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 12 + -6z = 18 + 6z + -6z Combine like terms: 6z + -6z = 0 12 + -6z = 18 + 0 12 + -6z = 18 Add '-12' to each side of the equation. 12 + -12 + -6z = 18 + -12 Combine like terms: 12 + -12 = 0 0 + -6z = 18 + -12 -6z = 18 + -12 Combine like terms: 18 + -12 = 6 -6z = 6 Divide each side by '-6'. z = -1 Simplifying z = -1
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