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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 = -30 -6z = -30 Divide each side by '-6'. z = 5 Simplifying z = 5
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