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Simplifying -4(6z + -5) = -16 + 8z Reorder the terms: -4(-5 + 6z) = -16 + 8z (-5 * -4 + 6z * -4) = -16 + 8z (20 + -24z) = -16 + 8z Solving 20 + -24z = -16 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 20 + -24z + -8z = -16 + 8z + -8z Combine like terms: -24z + -8z = -32z 20 + -32z = -16 + 8z + -8z Combine like terms: 8z + -8z = 0 20 + -32z = -16 + 0 20 + -32z = -16 Add '-20' to each side of the equation. 20 + -20 + -32z = -16 + -20 Combine like terms: 20 + -20 = 0 0 + -32z = -16 + -20 -32z = -16 + -20 Combine like terms: -16 + -20 = -36 -32z = -36 Divide each side by '-32'. z = 1.125 Simplifying z = 1.125
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