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Simplifying 4(-6z + 4) = 0 Reorder the terms: 4(4 + -6z) = 0 (4 * 4 + -6z * 4) = 0 (16 + -24z) = 0 Solving 16 + -24z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -24z = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -24z = 0 + -16 -24z = 0 + -16 Combine like terms: 0 + -16 = -16 -24z = -16 Divide each side by '-24'. z = 0.6666666667 Simplifying z = 0.6666666667
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