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Simplifying 3(1 + n) = 11 + n (1 * 3 + n * 3) = 11 + n (3 + 3n) = 11 + n Solving 3 + 3n = 11 + 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 + 3n + -1n = 11 + n + -1n Combine like terms: 3n + -1n = 2n 3 + 2n = 11 + n + -1n Combine like terms: n + -1n = 0 3 + 2n = 11 + 0 3 + 2n = 11 Add '-3' to each side of the equation. 3 + -3 + 2n = 11 + -3 Combine like terms: 3 + -3 = 0 0 + 2n = 11 + -3 2n = 11 + -3 Combine like terms: 11 + -3 = 8 2n = 8 Divide each side by '2'. n = 4 Simplifying n = 4
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