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Simplifying 3n + -6 + 6n + 4 = 8 + 3n + 2 Reorder the terms: -6 + 4 + 3n + 6n = 8 + 3n + 2 Combine like terms: -6 + 4 = -2 -2 + 3n + 6n = 8 + 3n + 2 Combine like terms: 3n + 6n = 9n -2 + 9n = 8 + 3n + 2 Reorder the terms: -2 + 9n = 8 + 2 + 3n Combine like terms: 8 + 2 = 10 -2 + 9n = 10 + 3n Solving -2 + 9n = 10 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -2 + 9n + -3n = 10 + 3n + -3n Combine like terms: 9n + -3n = 6n -2 + 6n = 10 + 3n + -3n Combine like terms: 3n + -3n = 0 -2 + 6n = 10 + 0 -2 + 6n = 10 Add '2' to each side of the equation. -2 + 2 + 6n = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 6n = 10 + 2 6n = 10 + 2 Combine like terms: 10 + 2 = 12 6n = 12 Divide each side by '6'. n = 2 Simplifying n = 2
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