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Simplifying 2n + n + -2 = 5n + 12 Reorder the terms: -2 + 2n + n = 5n + 12 Combine like terms: 2n + n = 3n -2 + 3n = 5n + 12 Reorder the terms: -2 + 3n = 12 + 5n Solving -2 + 3n = 12 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -2 + 3n + -5n = 12 + 5n + -5n Combine like terms: 3n + -5n = -2n -2 + -2n = 12 + 5n + -5n Combine like terms: 5n + -5n = 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 = 14 -2n = 14 Divide each side by '-2'. n = -7 Simplifying n = -7
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