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Simplifying 4(5 + -2z) = -3(5z + -2) (5 * 4 + -2z * 4) = -3(5z + -2) (20 + -8z) = -3(5z + -2) Reorder the terms: 20 + -8z = -3(-2 + 5z) 20 + -8z = (-2 * -3 + 5z * -3) 20 + -8z = (6 + -15z) Solving 20 + -8z = 6 + -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. 20 + -8z + 15z = 6 + -15z + 15z Combine like terms: -8z + 15z = 7z 20 + 7z = 6 + -15z + 15z Combine like terms: -15z + 15z = 0 20 + 7z = 6 + 0 20 + 7z = 6 Add '-20' to each side of the equation. 20 + -20 + 7z = 6 + -20 Combine like terms: 20 + -20 = 0 0 + 7z = 6 + -20 7z = 6 + -20 Combine like terms: 6 + -20 = -14 7z = -14 Divide each side by '7'. z = -2 Simplifying z = -2
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