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Simplifying n(9 + -4) = 2(n + 38) Combine like terms: 9 + -4 = 5 n(5) = 2(n + 38) Reorder the terms for easier multiplication: 5n = 2(n + 38) Reorder the terms: 5n = 2(38 + n) 5n = (38 * 2 + n * 2) 5n = (76 + 2n) Solving 5n = 76 + 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. 5n + -2n = 76 + 2n + -2n Combine like terms: 5n + -2n = 3n 3n = 76 + 2n + -2n Combine like terms: 2n + -2n = 0 3n = 76 + 0 3n = 76 Divide each side by '3'. n = 25.33333333 Simplifying n = 25.33333333
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