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Simplifying 5n + 3 = 2n + -5 Reorder the terms: 3 + 5n = 2n + -5 Reorder the terms: 3 + 5n = -5 + 2n Solving 3 + 5n = -5 + 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. 3 + 5n + -2n = -5 + 2n + -2n Combine like terms: 5n + -2n = 3n 3 + 3n = -5 + 2n + -2n Combine like terms: 2n + -2n = 0 3 + 3n = -5 + 0 3 + 3n = -5 Add '-3' to each side of the equation. 3 + -3 + 3n = -5 + -3 Combine like terms: 3 + -3 = 0 0 + 3n = -5 + -3 3n = -5 + -3 Combine like terms: -5 + -3 = -8 3n = -8 Divide each side by '3'. n = -2.666666667 Simplifying n = -2.666666667
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