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Simplifying 3(z + 6) + -9z = 0 Reorder the terms: 3(6 + z) + -9z = 0 (6 * 3 + z * 3) + -9z = 0 (18 + 3z) + -9z = 0 Combine like terms: 3z + -9z = -6z 18 + -6z = 0 Solving 18 + -6z = 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 + -6z = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -6z = 0 + -18 -6z = 0 + -18 Combine like terms: 0 + -18 = -18 -6z = -18 Divide each side by '-6'. z = 3 Simplifying z = 3
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