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Simplifying n + 2 = 3n + 6 + -5 + 3 Reorder the terms: 2 + n = 3n + 6 + -5 + 3 Reorder the terms: 2 + n = 6 + -5 + 3 + 3n Combine like terms: 6 + -5 = 1 2 + n = 1 + 3 + 3n Combine like terms: 1 + 3 = 4 2 + n = 4 + 3n Solving 2 + n = 4 + 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 = 4 + 3n + -3n Combine like terms: n + -3n = -2n 2 + -2n = 4 + 3n + -3n Combine like terms: 3n + -3n = 0 2 + -2n = 4 + 0 2 + -2n = 4 Add '-2' to each side of the equation. 2 + -2 + -2n = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -2n = 4 + -2 -2n = 4 + -2 Combine like terms: 4 + -2 = 2 -2n = 2 Divide each side by '-2'. n = -1 Simplifying n = -1
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