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Simplifying 5(32n + -40) = 4(5n + 1) Reorder the terms: 5(-40 + 32n) = 4(5n + 1) (-40 * 5 + 32n * 5) = 4(5n + 1) (-200 + 160n) = 4(5n + 1) Reorder the terms: -200 + 160n = 4(1 + 5n) -200 + 160n = (1 * 4 + 5n * 4) -200 + 160n = (4 + 20n) Solving -200 + 160n = 4 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. -200 + 160n + -20n = 4 + 20n + -20n Combine like terms: 160n + -20n = 140n -200 + 140n = 4 + 20n + -20n Combine like terms: 20n + -20n = 0 -200 + 140n = 4 + 0 -200 + 140n = 4 Add '200' to each side of the equation. -200 + 200 + 140n = 4 + 200 Combine like terms: -200 + 200 = 0 0 + 140n = 4 + 200 140n = 4 + 200 Combine like terms: 4 + 200 = 204 140n = 204 Divide each side by '140'. n = 1.457142857 Simplifying n = 1.457142857
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