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