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