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Simplifying 6(3 + -5z) = 0 (3 * 6 + -5z * 6) = 0 (18 + -30z) = 0 Solving 18 + -30z = 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 + -30z = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -30z = 0 + -18 -30z = 0 + -18 Combine like terms: 0 + -18 = -18 -30z = -18 Divide each side by '-30'. z = 0.6 Simplifying z = 0.6
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