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Simplifying 16 + -2n + 8n = n + 3(n + 4) + 20 Combine like terms: -2n + 8n = 6n 16 + 6n = n + 3(n + 4) + 20 Reorder the terms: 16 + 6n = n + 3(4 + n) + 20 16 + 6n = n + (4 * 3 + n * 3) + 20 16 + 6n = n + (12 + 3n) + 20 Reorder the terms: 16 + 6n = 12 + 20 + n + 3n Combine like terms: 12 + 20 = 32 16 + 6n = 32 + n + 3n Combine like terms: n + 3n = 4n 16 + 6n = 32 + 4n Solving 16 + 6n = 32 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 16 + 6n + -4n = 32 + 4n + -4n Combine like terms: 6n + -4n = 2n 16 + 2n = 32 + 4n + -4n Combine like terms: 4n + -4n = 0 16 + 2n = 32 + 0 16 + 2n = 32 Add '-16' to each side of the equation. 16 + -16 + 2n = 32 + -16 Combine like terms: 16 + -16 = 0 0 + 2n = 32 + -16 2n = 32 + -16 Combine like terms: 32 + -16 = 16 2n = 16 Divide each side by '2'. n = 8 Simplifying n = 8
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