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Simplifying 5n + -6 + 4n + 4 = 9 + 4n + 4 Reorder the terms: -6 + 4 + 5n + 4n = 9 + 4n + 4 Combine like terms: -6 + 4 = -2 -2 + 5n + 4n = 9 + 4n + 4 Combine like terms: 5n + 4n = 9n -2 + 9n = 9 + 4n + 4 Reorder the terms: -2 + 9n = 9 + 4 + 4n Combine like terms: 9 + 4 = 13 -2 + 9n = 13 + 4n Solving -2 + 9n = 13 + 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. -2 + 9n + -4n = 13 + 4n + -4n Combine like terms: 9n + -4n = 5n -2 + 5n = 13 + 4n + -4n Combine like terms: 4n + -4n = 0 -2 + 5n = 13 + 0 -2 + 5n = 13 Add '2' to each side of the equation. -2 + 2 + 5n = 13 + 2 Combine like terms: -2 + 2 = 0 0 + 5n = 13 + 2 5n = 13 + 2 Combine like terms: 13 + 2 = 15 5n = 15 Divide each side by '5'. n = 3 Simplifying n = 3
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