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Simplifying 11 + 9(n + 9) = 11 + -1(-4n + 4) Reorder the terms: 11 + 9(9 + n) = 11 + -1(-4n + 4) 11 + (9 * 9 + n * 9) = 11 + -1(-4n + 4) 11 + (81 + 9n) = 11 + -1(-4n + 4) Combine like terms: 11 + 81 = 92 92 + 9n = 11 + -1(-4n + 4) Reorder the terms: 92 + 9n = 11 + -1(4 + -4n) 92 + 9n = 11 + (4 * -1 + -4n * -1) 92 + 9n = 11 + (-4 + 4n) Combine like terms: 11 + -4 = 7 92 + 9n = 7 + 4n Solving 92 + 9n = 7 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 92 + 9n + -4n = 7 + 4n + -4n Combine like terms: 9n + -4n = 5n 92 + 5n = 7 + 4n + -4n Combine like terms: 4n + -4n = 0 92 + 5n = 7 + 0 92 + 5n = 7 Add '-92' to each side of the equation. 92 + -92 + 5n = 7 + -92 Combine like terms: 92 + -92 = 0 0 + 5n = 7 + -92 5n = 7 + -92 Combine like terms: 7 + -92 = -85 5n = -85 Divide each side by '5'. n = -17 Simplifying n = -17
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