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Simplifying 3 + 5n = 9 + 2n Solving 3 + 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. 3 + 5n + -2n = 9 + 2n + -2n Combine like terms: 5n + -2n = 3n 3 + 3n = 9 + 2n + -2n Combine like terms: 2n + -2n = 0 3 + 3n = 9 + 0 3 + 3n = 9 Add '-3' to each side of the equation. 3 + -3 + 3n = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 3n = 9 + -3 3n = 9 + -3 Combine like terms: 9 + -3 = 6 3n = 6 Divide each side by '3'. n = 2 Simplifying n = 2
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