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Simplifying -4(-3z + -5) = (10z + 8) + -2z Reorder the terms: -4(-5 + -3z) = (10z + 8) + -2z (-5 * -4 + -3z * -4) = (10z + 8) + -2z (20 + 12z) = (10z + 8) + -2z Reorder the terms: 20 + 12z = (8 + 10z) + -2z Remove parenthesis around (8 + 10z) 20 + 12z = 8 + 10z + -2z Combine like terms: 10z + -2z = 8z 20 + 12z = 8 + 8z Solving 20 + 12z = 8 + 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 + 12z + -8z = 8 + 8z + -8z Combine like terms: 12z + -8z = 4z 20 + 4z = 8 + 8z + -8z Combine like terms: 8z + -8z = 0 20 + 4z = 8 + 0 20 + 4z = 8 Add '-20' to each side of the equation. 20 + -20 + 4z = 8 + -20 Combine like terms: 20 + -20 = 0 0 + 4z = 8 + -20 4z = 8 + -20 Combine like terms: 8 + -20 = -12 4z = -12 Divide each side by '4'. z = -3 Simplifying z = -3
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