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Simplifying 8(3n + -5) + -5(2n + -8) = 20 + 4n Reorder the terms: 8(-5 + 3n) + -5(2n + -8) = 20 + 4n (-5 * 8 + 3n * 8) + -5(2n + -8) = 20 + 4n (-40 + 24n) + -5(2n + -8) = 20 + 4n Reorder the terms: -40 + 24n + -5(-8 + 2n) = 20 + 4n -40 + 24n + (-8 * -5 + 2n * -5) = 20 + 4n -40 + 24n + (40 + -10n) = 20 + 4n Reorder the terms: -40 + 40 + 24n + -10n = 20 + 4n Combine like terms: -40 + 40 = 0 0 + 24n + -10n = 20 + 4n 24n + -10n = 20 + 4n Combine like terms: 24n + -10n = 14n 14n = 20 + 4n Solving 14n = 20 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 14n + -4n = 20 + 4n + -4n Combine like terms: 14n + -4n = 10n 10n = 20 + 4n + -4n Combine like terms: 4n + -4n = 0 10n = 20 + 0 10n = 20 Divide each side by '10'. n = 2 Simplifying n = 2
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