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Simplifying 3n + -5 + 2n = 5 + -2n + 4 Reorder the terms: -5 + 3n + 2n = 5 + -2n + 4 Combine like terms: 3n + 2n = 5n -5 + 5n = 5 + -2n + 4 Reorder the terms: -5 + 5n = 5 + 4 + -2n Combine like terms: 5 + 4 = 9 -5 + 5n = 9 + -2n Solving -5 + 5n = 9 + -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 + 5n + 2n = 9 + -2n + 2n Combine like terms: 5n + 2n = 7n -5 + 7n = 9 + -2n + 2n Combine like terms: -2n + 2n = 0 -5 + 7n = 9 + 0 -5 + 7n = 9 Add '5' to each side of the equation. -5 + 5 + 7n = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 7n = 9 + 5 7n = 9 + 5 Combine like terms: 9 + 5 = 14 7n = 14 Divide each side by '7'. n = 2 Simplifying n = 2
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