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Simplifying 5 + -4n + 3n = 2n + -5 + 5 Combine like terms: -4n + 3n = -1n 5 + -1n = 2n + -5 + 5 Reorder the terms: 5 + -1n = -5 + 5 + 2n Combine like terms: -5 + 5 = 0 5 + -1n = 0 + 2n 5 + -1n = 2n Solving 5 + -1n = 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 5 + -1n + -2n = 2n + -2n Combine like terms: -1n + -2n = -3n 5 + -3n = 2n + -2n Combine like terms: 2n + -2n = 0 5 + -3n = 0 Add '-5' to each side of the equation. 5 + -5 + -3n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3n = 0 + -5 -3n = 0 + -5 Combine like terms: 0 + -5 = -5 -3n = -5 Divide each side by '-3'. n = 1.666666667 Simplifying n = 1.666666667
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