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Simplifying 4 + -5(-4n + 8) = -3(3n + -4) + -2 Reorder the terms: 4 + -5(8 + -4n) = -3(3n + -4) + -2 4 + (8 * -5 + -4n * -5) = -3(3n + -4) + -2 4 + (-40 + 20n) = -3(3n + -4) + -2 Combine like terms: 4 + -40 = -36 -36 + 20n = -3(3n + -4) + -2 Reorder the terms: -36 + 20n = -3(-4 + 3n) + -2 -36 + 20n = (-4 * -3 + 3n * -3) + -2 -36 + 20n = (12 + -9n) + -2 Reorder the terms: -36 + 20n = 12 + -2 + -9n Combine like terms: 12 + -2 = 10 -36 + 20n = 10 + -9n Solving -36 + 20n = 10 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. -36 + 20n + 9n = 10 + -9n + 9n Combine like terms: 20n + 9n = 29n -36 + 29n = 10 + -9n + 9n Combine like terms: -9n + 9n = 0 -36 + 29n = 10 + 0 -36 + 29n = 10 Add '36' to each side of the equation. -36 + 36 + 29n = 10 + 36 Combine like terms: -36 + 36 = 0 0 + 29n = 10 + 36 29n = 10 + 36 Combine like terms: 10 + 36 = 46 29n = 46 Divide each side by '29'. n = 1.586206897 Simplifying n = 1.586206897
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