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Simplifying 3(n + n + 4) + -8 = 5(n + 2) Reorder the terms: 3(4 + n + n) + -8 = 5(n + 2) Combine like terms: n + n = 2n 3(4 + 2n) + -8 = 5(n + 2) (4 * 3 + 2n * 3) + -8 = 5(n + 2) (12 + 6n) + -8 = 5(n + 2) Reorder the terms: 12 + -8 + 6n = 5(n + 2) Combine like terms: 12 + -8 = 4 4 + 6n = 5(n + 2) Reorder the terms: 4 + 6n = 5(2 + n) 4 + 6n = (2 * 5 + n * 5) 4 + 6n = (10 + 5n) Solving 4 + 6n = 10 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 4 + 6n + -5n = 10 + 5n + -5n Combine like terms: 6n + -5n = 1n 4 + 1n = 10 + 5n + -5n Combine like terms: 5n + -5n = 0 4 + 1n = 10 + 0 4 + 1n = 10 Add '-4' to each side of the equation. 4 + -4 + 1n = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 1n = 10 + -4 1n = 10 + -4 Combine like terms: 10 + -4 = 6 1n = 6 Divide each side by '1'. n = 6 Simplifying n = 6
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