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Simplifying 3(6z + 4) = 0 Reorder the terms: 3(4 + 6z) = 0 (4 * 3 + 6z * 3) = 0 (12 + 18z) = 0 Solving 12 + 18z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 18z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 18z = 0 + -12 18z = 0 + -12 Combine like terms: 0 + -12 = -12 18z = -12 Divide each side by '18'. z = -0.6666666667 Simplifying z = -0.6666666667
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