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Simplifying 5(6z + 1) = 0 Reorder the terms: 5(1 + 6z) = 0 (1 * 5 + 6z * 5) = 0 (5 + 30z) = 0 Solving 5 + 30z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 30z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 30z = 0 + -5 30z = 0 + -5 Combine like terms: 0 + -5 = -5 30z = -5 Divide each side by '30'. z = -0.1666666667 Simplifying z = -0.1666666667
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