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Simplifying -8(5n + -50) = 32(-5n + 20) Reorder the terms: -8(-50 + 5n) = 32(-5n + 20) (-50 * -8 + 5n * -8) = 32(-5n + 20) (400 + -40n) = 32(-5n + 20) Reorder the terms: 400 + -40n = 32(20 + -5n) 400 + -40n = (20 * 32 + -5n * 32) 400 + -40n = (640 + -160n) Solving 400 + -40n = 640 + -160n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '160n' to each side of the equation. 400 + -40n + 160n = 640 + -160n + 160n Combine like terms: -40n + 160n = 120n 400 + 120n = 640 + -160n + 160n Combine like terms: -160n + 160n = 0 400 + 120n = 640 + 0 400 + 120n = 640 Add '-400' to each side of the equation. 400 + -400 + 120n = 640 + -400 Combine like terms: 400 + -400 = 0 0 + 120n = 640 + -400 120n = 640 + -400 Combine like terms: 640 + -400 = 240 120n = 240 Divide each side by '120'. n = 2 Simplifying n = 2
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