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Simplifying 5n + -3 = 2n + 12 Reorder the terms: -3 + 5n = 2n + 12 Reorder the terms: -3 + 5n = 12 + 2n Solving -3 + 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. -3 + 5n + -2n = 12 + 2n + -2n Combine like terms: 5n + -2n = 3n -3 + 3n = 12 + 2n + -2n Combine like terms: 2n + -2n = 0 -3 + 3n = 12 + 0 -3 + 3n = 12 Add '3' to each side of the equation. -3 + 3 + 3n = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 3n = 12 + 3 3n = 12 + 3 Combine like terms: 12 + 3 = 15 3n = 15 Divide each side by '3'. n = 5 Simplifying n = 5
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