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Simplifying 5(8 + -8z) = -4(11z + -20) (8 * 5 + -8z * 5) = -4(11z + -20) (40 + -40z) = -4(11z + -20) Reorder the terms: 40 + -40z = -4(-20 + 11z) 40 + -40z = (-20 * -4 + 11z * -4) 40 + -40z = (80 + -44z) Solving 40 + -40z = 80 + -44z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '44z' to each side of the equation. 40 + -40z + 44z = 80 + -44z + 44z Combine like terms: -40z + 44z = 4z 40 + 4z = 80 + -44z + 44z Combine like terms: -44z + 44z = 0 40 + 4z = 80 + 0 40 + 4z = 80 Add '-40' to each side of the equation. 40 + -40 + 4z = 80 + -40 Combine like terms: 40 + -40 = 0 0 + 4z = 80 + -40 4z = 80 + -40 Combine like terms: 80 + -40 = 40 4z = 40 Divide each side by '4'. z = 10 Simplifying z = 10
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