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Simplifying 11(n + 5) = 2(n + 6) + 7 Reorder the terms: 11(5 + n) = 2(n + 6) + 7 (5 * 11 + n * 11) = 2(n + 6) + 7 (55 + 11n) = 2(n + 6) + 7 Reorder the terms: 55 + 11n = 2(6 + n) + 7 55 + 11n = (6 * 2 + n * 2) + 7 55 + 11n = (12 + 2n) + 7 Reorder the terms: 55 + 11n = 12 + 7 + 2n Combine like terms: 12 + 7 = 19 55 + 11n = 19 + 2n Solving 55 + 11n = 19 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 55 + 11n + -2n = 19 + 2n + -2n Combine like terms: 11n + -2n = 9n 55 + 9n = 19 + 2n + -2n Combine like terms: 2n + -2n = 0 55 + 9n = 19 + 0 55 + 9n = 19 Add '-55' to each side of the equation. 55 + -55 + 9n = 19 + -55 Combine like terms: 55 + -55 = 0 0 + 9n = 19 + -55 9n = 19 + -55 Combine like terms: 19 + -55 = -36 9n = -36 Divide each side by '9'. n = -4 Simplifying n = -4
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