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Simplifying 4n + -6 + 3n + 2 = 8 + 5n + 2 Reorder the terms: -6 + 2 + 4n + 3n = 8 + 5n + 2 Combine like terms: -6 + 2 = -4 -4 + 4n + 3n = 8 + 5n + 2 Combine like terms: 4n + 3n = 7n -4 + 7n = 8 + 5n + 2 Reorder the terms: -4 + 7n = 8 + 2 + 5n Combine like terms: 8 + 2 = 10 -4 + 7n = 10 + 5n Solving -4 + 7n = 10 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -4 + 7n + -5n = 10 + 5n + -5n Combine like terms: 7n + -5n = 2n -4 + 2n = 10 + 5n + -5n Combine like terms: 5n + -5n = 0 -4 + 2n = 10 + 0 -4 + 2n = 10 Add '4' to each side of the equation. -4 + 4 + 2n = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 2n = 10 + 4 2n = 10 + 4 Combine like terms: 10 + 4 = 14 2n = 14 Divide each side by '2'. n = 7 Simplifying n = 7
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