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Simplifying 3 + 11n + -1 = 7n + 47 + -5n Reorder the terms: 3 + -1 + 11n = 7n + 47 + -5n Combine like terms: 3 + -1 = 2 2 + 11n = 7n + 47 + -5n Reorder the terms: 2 + 11n = 47 + 7n + -5n Combine like terms: 7n + -5n = 2n 2 + 11n = 47 + 2n Solving 2 + 11n = 47 + 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. 2 + 11n + -2n = 47 + 2n + -2n Combine like terms: 11n + -2n = 9n 2 + 9n = 47 + 2n + -2n Combine like terms: 2n + -2n = 0 2 + 9n = 47 + 0 2 + 9n = 47 Add '-2' to each side of the equation. 2 + -2 + 9n = 47 + -2 Combine like terms: 2 + -2 = 0 0 + 9n = 47 + -2 9n = 47 + -2 Combine like terms: 47 + -2 = 45 9n = 45 Divide each side by '9'. n = 5 Simplifying n = 5
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