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Simplifying 5n + -6 + 4n + 1 = 8 + 4n + 2 Reorder the terms: -6 + 1 + 5n + 4n = 8 + 4n + 2 Combine like terms: -6 + 1 = -5 -5 + 5n + 4n = 8 + 4n + 2 Combine like terms: 5n + 4n = 9n -5 + 9n = 8 + 4n + 2 Reorder the terms: -5 + 9n = 8 + 2 + 4n Combine like terms: 8 + 2 = 10 -5 + 9n = 10 + 4n Solving -5 + 9n = 10 + 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. -5 + 9n + -4n = 10 + 4n + -4n Combine like terms: 9n + -4n = 5n -5 + 5n = 10 + 4n + -4n Combine like terms: 4n + -4n = 0 -5 + 5n = 10 + 0 -5 + 5n = 10 Add '5' to each side of the equation. -5 + 5 + 5n = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 5n = 10 + 5 5n = 10 + 5 Combine like terms: 10 + 5 = 15 5n = 15 Divide each side by '5'. n = 3 Simplifying n = 3
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