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Simplifying 3n + 2 = 12 + -2n Reorder the terms: 2 + 3n = 12 + -2n Solving 2 + 3n = 12 + -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. 2 + 3n + 2n = 12 + -2n + 2n Combine like terms: 3n + 2n = 5n 2 + 5n = 12 + -2n + 2n Combine like terms: -2n + 2n = 0 2 + 5n = 12 + 0 2 + 5n = 12 Add '-2' to each side of the equation. 2 + -2 + 5n = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 5n = 12 + -2 5n = 12 + -2 Combine like terms: 12 + -2 = 10 5n = 10 Divide each side by '5'. n = 2 Simplifying n = 2
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