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Simplifying 5(2x + n) = 3(n + 6) Reorder the terms: 5(n + 2x) = 3(n + 6) (n * 5 + 2x * 5) = 3(n + 6) (5n + 10x) = 3(n + 6) Reorder the terms: 5n + 10x = 3(6 + n) 5n + 10x = (6 * 3 + n * 3) 5n + 10x = (18 + 3n) Solving 5n + 10x = 18 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 5n + -3n + 10x = 18 + 3n + -3n Combine like terms: 5n + -3n = 2n 2n + 10x = 18 + 3n + -3n Combine like terms: 3n + -3n = 0 2n + 10x = 18 + 0 2n + 10x = 18 Add '-10x' to each side of the equation. 2n + 10x + -10x = 18 + -10x Combine like terms: 10x + -10x = 0 2n + 0 = 18 + -10x 2n = 18 + -10x Divide each side by '2'. n = 9 + -5x Simplifying n = 9 + -5x
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