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Simplifying -4(2z + -1) = 5(8 + -3z) Reorder the terms: -4(-1 + 2z) = 5(8 + -3z) (-1 * -4 + 2z * -4) = 5(8 + -3z) (4 + -8z) = 5(8 + -3z) 4 + -8z = (8 * 5 + -3z * 5) 4 + -8z = (40 + -15z) Solving 4 + -8z = 40 + -15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15z' to each side of the equation. 4 + -8z + 15z = 40 + -15z + 15z Combine like terms: -8z + 15z = 7z 4 + 7z = 40 + -15z + 15z Combine like terms: -15z + 15z = 0 4 + 7z = 40 + 0 4 + 7z = 40 Add '-4' to each side of the equation. 4 + -4 + 7z = 40 + -4 Combine like terms: 4 + -4 = 0 0 + 7z = 40 + -4 7z = 40 + -4 Combine like terms: 40 + -4 = 36 7z = 36 Divide each side by '7'. z = 5.142857143 Simplifying z = 5.142857143
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