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Simplifying 13(n + -3) = 9n + -31 Reorder the terms: 13(-3 + n) = 9n + -31 (-3 * 13 + n * 13) = 9n + -31 (-39 + 13n) = 9n + -31 Reorder the terms: -39 + 13n = -31 + 9n Solving -39 + 13n = -31 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -39 + 13n + -9n = -31 + 9n + -9n Combine like terms: 13n + -9n = 4n -39 + 4n = -31 + 9n + -9n Combine like terms: 9n + -9n = 0 -39 + 4n = -31 + 0 -39 + 4n = -31 Add '39' to each side of the equation. -39 + 39 + 4n = -31 + 39 Combine like terms: -39 + 39 = 0 0 + 4n = -31 + 39 4n = -31 + 39 Combine like terms: -31 + 39 = 8 4n = 8 Divide each side by '4'. n = 2 Simplifying n = 2
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