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Simplifying 11n + -3 + 2n + -2(1 + 4n + -4) = 9 + n + 6 Reorder the terms: 11n + -3 + 2n + -2(1 + -4 + 4n) = 9 + n + 6 Combine like terms: 1 + -4 = -3 11n + -3 + 2n + -2(-3 + 4n) = 9 + n + 6 11n + -3 + 2n + (-3 * -2 + 4n * -2) = 9 + n + 6 11n + -3 + 2n + (6 + -8n) = 9 + n + 6 Reorder the terms: -3 + 6 + 11n + 2n + -8n = 9 + n + 6 Combine like terms: -3 + 6 = 3 3 + 11n + 2n + -8n = 9 + n + 6 Combine like terms: 11n + 2n = 13n 3 + 13n + -8n = 9 + n + 6 Combine like terms: 13n + -8n = 5n 3 + 5n = 9 + n + 6 Reorder the terms: 3 + 5n = 9 + 6 + n Combine like terms: 9 + 6 = 15 3 + 5n = 15 + n Solving 3 + 5n = 15 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 3 + 5n + -1n = 15 + n + -1n Combine like terms: 5n + -1n = 4n 3 + 4n = 15 + n + -1n Combine like terms: n + -1n = 0 3 + 4n = 15 + 0 3 + 4n = 15 Add '-3' to each side of the equation. 3 + -3 + 4n = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 4n = 15 + -3 4n = 15 + -3 Combine like terms: 15 + -3 = 12 4n = 12 Divide each side by '4'. n = 3 Simplifying n = 3
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