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Simplifying 6(4z + 1) = 0 Reorder the terms: 6(1 + 4z) = 0 (1 * 6 + 4z * 6) = 0 (6 + 24z) = 0 Solving 6 + 24z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 24z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 24z = 0 + -6 24z = 0 + -6 Combine like terms: 0 + -6 = -6 24z = -6 Divide each side by '24'. z = -0.25 Simplifying z = -0.25
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