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Simplifying 4(-6z + 4) = 8 + 24z Reorder the terms: 4(4 + -6z) = 8 + 24z (4 * 4 + -6z * 4) = 8 + 24z (16 + -24z) = 8 + 24z Solving 16 + -24z = 8 + 24z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-24z' to each side of the equation. 16 + -24z + -24z = 8 + 24z + -24z Combine like terms: -24z + -24z = -48z 16 + -48z = 8 + 24z + -24z Combine like terms: 24z + -24z = 0 16 + -48z = 8 + 0 16 + -48z = 8 Add '-16' to each side of the equation. 16 + -16 + -48z = 8 + -16 Combine like terms: 16 + -16 = 0 0 + -48z = 8 + -16 -48z = 8 + -16 Combine like terms: 8 + -16 = -8 -48z = -8 Divide each side by '-48'. z = 0.1666666667 Simplifying z = 0.1666666667
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