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Simplifying 12 = -4(-9 + -3z) 12 = (-9 * -4 + -3z * -4) 12 = (36 + 12z) Solving 12 = 36 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 12 + -12z = 36 + 12z + -12z Combine like terms: 12z + -12z = 0 12 + -12z = 36 + 0 12 + -12z = 36 Add '-12' to each side of the equation. 12 + -12 + -12z = 36 + -12 Combine like terms: 12 + -12 = 0 0 + -12z = 36 + -12 -12z = 36 + -12 Combine like terms: 36 + -12 = 24 -12z = 24 Divide each side by '-12'. z = -2 Simplifying z = -2
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