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Simplifying 5n + -2n + -3 = 2n + 4n + -8 Reorder the terms: -3 + 5n + -2n = 2n + 4n + -8 Combine like terms: 5n + -2n = 3n -3 + 3n = 2n + 4n + -8 Reorder the terms: -3 + 3n = -8 + 2n + 4n Combine like terms: 2n + 4n = 6n -3 + 3n = -8 + 6n Solving -3 + 3n = -8 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -3 + 3n + -6n = -8 + 6n + -6n Combine like terms: 3n + -6n = -3n -3 + -3n = -8 + 6n + -6n Combine like terms: 6n + -6n = 0 -3 + -3n = -8 + 0 -3 + -3n = -8 Add '3' to each side of the equation. -3 + 3 + -3n = -8 + 3 Combine like terms: -3 + 3 = 0 0 + -3n = -8 + 3 -3n = -8 + 3 Combine like terms: -8 + 3 = -5 -3n = -5 Divide each side by '-3'. n = 1.666666667 Simplifying n = 1.666666667
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