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Simplifying 5n + 12 + -2n = 3n + -2 + 2n Reorder the terms: 12 + 5n + -2n = 3n + -2 + 2n Combine like terms: 5n + -2n = 3n 12 + 3n = 3n + -2 + 2n Reorder the terms: 12 + 3n = -2 + 3n + 2n Combine like terms: 3n + 2n = 5n 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 = -14 -2n = -14 Divide each side by '-2'. n = 7 Simplifying n = 7
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