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Simplifying 5n + 2n + -6 = 4n + 9 Reorder the terms: -6 + 5n + 2n = 4n + 9 Combine like terms: 5n + 2n = 7n -6 + 7n = 4n + 9 Reorder the terms: -6 + 7n = 9 + 4n Solving -6 + 7n = 9 + 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. -6 + 7n + -4n = 9 + 4n + -4n Combine like terms: 7n + -4n = 3n -6 + 3n = 9 + 4n + -4n Combine like terms: 4n + -4n = 0 -6 + 3n = 9 + 0 -6 + 3n = 9 Add '6' to each side of the equation. -6 + 6 + 3n = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 3n = 9 + 6 3n = 9 + 6 Combine like terms: 9 + 6 = 15 3n = 15 Divide each side by '3'. n = 5 Simplifying n = 5
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