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Simplifying 55 = 11 + 2(n + -1) Reorder the terms: 55 = 11 + 2(-1 + n) 55 = 11 + (-1 * 2 + n * 2) 55 = 11 + (-2 + 2n) Combine like terms: 11 + -2 = 9 55 = 9 + 2n Solving 55 = 9 + 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 + -2n = 9 + 2n + -2n Combine like terms: 2n + -2n = 0 55 + -2n = 9 + 0 55 + -2n = 9 Add '-55' to each side of the equation. 55 + -55 + -2n = 9 + -55 Combine like terms: 55 + -55 = 0 0 + -2n = 9 + -55 -2n = 9 + -55 Combine like terms: 9 + -55 = -46 -2n = -46 Divide each side by '-2'. n = 23 Simplifying n = 23
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