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Simplifying 5(11 + n) = 2(n + 5) (11 * 5 + n * 5) = 2(n + 5) (55 + 5n) = 2(n + 5) Reorder the terms: 55 + 5n = 2(5 + n) 55 + 5n = (5 * 2 + n * 2) 55 + 5n = (10 + 2n) Solving 55 + 5n = 10 + 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 + 5n + -2n = 10 + 2n + -2n Combine like terms: 5n + -2n = 3n 55 + 3n = 10 + 2n + -2n Combine like terms: 2n + -2n = 0 55 + 3n = 10 + 0 55 + 3n = 10 Add '-55' to each side of the equation. 55 + -55 + 3n = 10 + -55 Combine like terms: 55 + -55 = 0 0 + 3n = 10 + -55 3n = 10 + -55 Combine like terms: 10 + -55 = -45 3n = -45 Divide each side by '3'. n = -15 Simplifying n = -15
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