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Simplifying 120 = 12(3 + -2z) 120 = (3 * 12 + -2z * 12) 120 = (36 + -24z) Solving 120 = 36 + -24z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '24z' to each side of the equation. 120 + 24z = 36 + -24z + 24z Combine like terms: -24z + 24z = 0 120 + 24z = 36 + 0 120 + 24z = 36 Add '-120' to each side of the equation. 120 + -120 + 24z = 36 + -120 Combine like terms: 120 + -120 = 0 0 + 24z = 36 + -120 24z = 36 + -120 Combine like terms: 36 + -120 = -84 24z = -84 Divide each side by '24'. z = -3.5 Simplifying z = -3.5
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