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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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