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