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