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Simplifying 2n + 4n + -6 + 3n = 4 + 2n + 4 Reorder the terms: -6 + 2n + 4n + 3n = 4 + 2n + 4 Combine like terms: 2n + 4n = 6n -6 + 6n + 3n = 4 + 2n + 4 Combine like terms: 6n + 3n = 9n -6 + 9n = 4 + 2n + 4 Reorder the terms: -6 + 9n = 4 + 4 + 2n Combine like terms: 4 + 4 = 8 -6 + 9n = 8 + 2n Solving -6 + 9n = 8 + 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. -6 + 9n + -2n = 8 + 2n + -2n Combine like terms: 9n + -2n = 7n -6 + 7n = 8 + 2n + -2n Combine like terms: 2n + -2n = 0 -6 + 7n = 8 + 0 -6 + 7n = 8 Add '6' to each side of the equation. -6 + 6 + 7n = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 7n = 8 + 6 7n = 8 + 6 Combine like terms: 8 + 6 = 14 7n = 14 Divide each side by '7'. n = 2 Simplifying n = 2
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