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Simplifying 3(3 + 2z) = 0 (3 * 3 + 2z * 3) = 0 (9 + 6z) = 0 Solving 9 + 6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 6z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 6z = 0 + -9 6z = 0 + -9 Combine like terms: 0 + -9 = -9 6z = -9 Divide each side by '6'. z = -1.5 Simplifying z = -1.5
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