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Simplifying -4(-3z + -5) = -1(10z + 8) + -2z Reorder the terms: -4(-5 + -3z) = -1(10z + 8) + -2z (-5 * -4 + -3z * -4) = -1(10z + 8) + -2z (20 + 12z) = -1(10z + 8) + -2z Reorder the terms: 20 + 12z = -1(8 + 10z) + -2z 20 + 12z = (8 * -1 + 10z * -1) + -2z 20 + 12z = (-8 + -10z) + -2z Combine like terms: -10z + -2z = -12z 20 + 12z = -8 + -12z Solving 20 + 12z = -8 + -12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12z' to each side of the equation. 20 + 12z + 12z = -8 + -12z + 12z Combine like terms: 12z + 12z = 24z 20 + 24z = -8 + -12z + 12z Combine like terms: -12z + 12z = 0 20 + 24z = -8 + 0 20 + 24z = -8 Add '-20' to each side of the equation. 20 + -20 + 24z = -8 + -20 Combine like terms: 20 + -20 = 0 0 + 24z = -8 + -20 24z = -8 + -20 Combine like terms: -8 + -20 = -28 24z = -28 Divide each side by '24'. z = -1.166666667 Simplifying z = -1.166666667
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