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Simplifying 5n + 2 = 2n + -12 Reorder the terms: 2 + 5n = 2n + -12 Reorder the terms: 2 + 5n = -12 + 2n Solving 2 + 5n = -12 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 2 + 5n + -2n = -12 + 2n + -2n Combine like terms: 5n + -2n = 3n 2 + 3n = -12 + 2n + -2n Combine like terms: 2n + -2n = 0 2 + 3n = -12 + 0 2 + 3n = -12 Add '-2' to each side of the equation. 2 + -2 + 3n = -12 + -2 Combine like terms: 2 + -2 = 0 0 + 3n = -12 + -2 3n = -12 + -2 Combine like terms: -12 + -2 = -14 3n = -14 Divide each side by '3'. n = -4.666666667 Simplifying n = -4.666666667
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