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Simplifying 5n + -4 + 4n + 1 = 6 + 2n + 5 Reorder the terms: -4 + 1 + 5n + 4n = 6 + 2n + 5 Combine like terms: -4 + 1 = -3 -3 + 5n + 4n = 6 + 2n + 5 Combine like terms: 5n + 4n = 9n -3 + 9n = 6 + 2n + 5 Reorder the terms: -3 + 9n = 6 + 5 + 2n Combine like terms: 6 + 5 = 11 -3 + 9n = 11 + 2n Solving -3 + 9n = 11 + 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. -3 + 9n + -2n = 11 + 2n + -2n Combine like terms: 9n + -2n = 7n -3 + 7n = 11 + 2n + -2n Combine like terms: 2n + -2n = 0 -3 + 7n = 11 + 0 -3 + 7n = 11 Add '3' to each side of the equation. -3 + 3 + 7n = 11 + 3 Combine like terms: -3 + 3 = 0 0 + 7n = 11 + 3 7n = 11 + 3 Combine like terms: 11 + 3 = 14 7n = 14 Divide each side by '7'. n = 2 Simplifying n = 2
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