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