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Simplifying n + 3(1 + n) = -11 + 6n n + (1 * 3 + n * 3) = -11 + 6n n + (3 + 3n) = -11 + 6n Reorder the terms: 3 + n + 3n = -11 + 6n Combine like terms: n + 3n = 4n 3 + 4n = -11 + 6n Solving 3 + 4n = -11 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 3 + 4n + -6n = -11 + 6n + -6n Combine like terms: 4n + -6n = -2n 3 + -2n = -11 + 6n + -6n Combine like terms: 6n + -6n = 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 = -14 -2n = -14 Divide each side by '-2'. n = 7 Simplifying n = 7
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