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Simplifying 5n + 14 = 3n + -12 Reorder the terms: 14 + 5n = 3n + -12 Reorder the terms: 14 + 5n = -12 + 3n Solving 14 + 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. 14 + 5n + -3n = -12 + 3n + -3n Combine like terms: 5n + -3n = 2n 14 + 2n = -12 + 3n + -3n Combine like terms: 3n + -3n = 0 14 + 2n = -12 + 0 14 + 2n = -12 Add '-14' to each side of the equation. 14 + -14 + 2n = -12 + -14 Combine like terms: 14 + -14 = 0 0 + 2n = -12 + -14 2n = -12 + -14 Combine like terms: -12 + -14 = -26 2n = -26 Divide each side by '2'. n = -13 Simplifying n = -13
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