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Simplifying 5n + 2 = 3n + -12 Reorder the terms: 2 + 5n = 3n + -12 Reorder the terms: 2 + 5n = -12 + 3n Solving 2 + 5n = -12 + 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 + 5n + -3n = -12 + 3n + -3n Combine like terms: 5n + -3n = 2n 2 + 2n = -12 + 3n + -3n Combine like terms: 3n + -3n = 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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