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Simplifying 5n + 9(n + -1) = 11n + -1(2n + 4) Reorder the terms: 5n + 9(-1 + n) = 11n + -1(2n + 4) 5n + (-1 * 9 + n * 9) = 11n + -1(2n + 4) 5n + (-9 + 9n) = 11n + -1(2n + 4) Reorder the terms: -9 + 5n + 9n = 11n + -1(2n + 4) Combine like terms: 5n + 9n = 14n -9 + 14n = 11n + -1(2n + 4) Reorder the terms: -9 + 14n = 11n + -1(4 + 2n) -9 + 14n = 11n + (4 * -1 + 2n * -1) -9 + 14n = 11n + (-4 + -2n) Reorder the terms: -9 + 14n = -4 + 11n + -2n Combine like terms: 11n + -2n = 9n -9 + 14n = -4 + 9n Solving -9 + 14n = -4 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -9 + 14n + -9n = -4 + 9n + -9n Combine like terms: 14n + -9n = 5n -9 + 5n = -4 + 9n + -9n Combine like terms: 9n + -9n = 0 -9 + 5n = -4 + 0 -9 + 5n = -4 Add '9' to each side of the equation. -9 + 9 + 5n = -4 + 9 Combine like terms: -9 + 9 = 0 0 + 5n = -4 + 9 5n = -4 + 9 Combine like terms: -4 + 9 = 5 5n = 5 Divide each side by '5'. n = 1 Simplifying n = 1
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