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Simplifying (4n + 5500) + -1(2n + 5100) = 0 Reorder the terms: (5500 + 4n) + -1(2n + 5100) = 0 Remove parenthesis around (5500 + 4n) 5500 + 4n + -1(2n + 5100) = 0 Reorder the terms: 5500 + 4n + -1(5100 + 2n) = 0 5500 + 4n + (5100 * -1 + 2n * -1) = 0 5500 + 4n + (-5100 + -2n) = 0 Reorder the terms: 5500 + -5100 + 4n + -2n = 0 Combine like terms: 5500 + -5100 = 400 400 + 4n + -2n = 0 Combine like terms: 4n + -2n = 2n 400 + 2n = 0 Solving 400 + 2n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-400' to each side of the equation. 400 + -400 + 2n = 0 + -400 Combine like terms: 400 + -400 = 0 0 + 2n = 0 + -400 2n = 0 + -400 Combine like terms: 0 + -400 = -400 2n = -400 Divide each side by '2'. n = -200 Simplifying n = -200
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