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Simplifying 5(n + -2) = 3(n + 6) Reorder the terms: 5(-2 + n) = 3(n + 6) (-2 * 5 + n * 5) = 3(n + 6) (-10 + 5n) = 3(n + 6) Reorder the terms: -10 + 5n = 3(6 + n) -10 + 5n = (6 * 3 + n * 3) -10 + 5n = (18 + 3n) Solving -10 + 5n = 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. -10 + 5n + -3n = 18 + 3n + -3n Combine like terms: 5n + -3n = 2n -10 + 2n = 18 + 3n + -3n Combine like terms: 3n + -3n = 0 -10 + 2n = 18 + 0 -10 + 2n = 18 Add '10' to each side of the equation. -10 + 10 + 2n = 18 + 10 Combine like terms: -10 + 10 = 0 0 + 2n = 18 + 10 2n = 18 + 10 Combine like terms: 18 + 10 = 28 2n = 28 Divide each side by '2'. n = 14 Simplifying n = 14
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