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Simplifying n + 2 = 3n + 5 + 7 Reorder the terms: 2 + n = 3n + 5 + 7 Reorder the terms: 2 + n = 5 + 7 + 3n Combine like terms: 5 + 7 = 12 2 + n = 12 + 3n Solving 2 + n = 12 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 2 + n + -3n = 12 + 3n + -3n Combine like terms: n + -3n = -2n 2 + -2n = 12 + 3n + -3n Combine like terms: 3n + -3n = 0 2 + -2n = 12 + 0 2 + -2n = 12 Add '-2' to each side of the equation. 2 + -2 + -2n = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -2n = 12 + -2 -2n = 12 + -2 Combine like terms: 12 + -2 = 10 -2n = 10 Divide each side by '-2'. n = -5 Simplifying n = -5
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