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Simplifying -8 + -2n + 7n = 3(n + 4) Combine like terms: -2n + 7n = 5n -8 + 5n = 3(n + 4) Reorder the terms: -8 + 5n = 3(4 + n) -8 + 5n = (4 * 3 + n * 3) -8 + 5n = (12 + 3n) Solving -8 + 5n = 12 + 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. -8 + 5n + -3n = 12 + 3n + -3n Combine like terms: 5n + -3n = 2n -8 + 2n = 12 + 3n + -3n Combine like terms: 3n + -3n = 0 -8 + 2n = 12 + 0 -8 + 2n = 12 Add '8' to each side of the equation. -8 + 8 + 2n = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 2n = 12 + 8 2n = 12 + 8 Combine like terms: 12 + 8 = 20 2n = 20 Divide each side by '2'. n = 10 Simplifying n = 10
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