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Simplifying 9(12 + 4z) = 3(6 + -18) (12 * 9 + 4z * 9) = 3(6 + -18) (108 + 36z) = 3(6 + -18) Combine like terms: 6 + -18 = -12 108 + 36z = 3(-12) Multiply 3 * -12 108 + 36z = -36 Solving 108 + 36z = -36 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-108' to each side of the equation. 108 + -108 + 36z = -36 + -108 Combine like terms: 108 + -108 = 0 0 + 36z = -36 + -108 36z = -36 + -108 Combine like terms: -36 + -108 = -144 36z = -144 Divide each side by '36'. z = -4 Simplifying z = -4
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