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Simplifying 3n + n + -8 = 2n + 4 Reorder the terms: -8 + 3n + n = 2n + 4 Combine like terms: 3n + n = 4n -8 + 4n = 2n + 4 Reorder the terms: -8 + 4n = 4 + 2n Solving -8 + 4n = 4 + 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. -8 + 4n + -2n = 4 + 2n + -2n Combine like terms: 4n + -2n = 2n -8 + 2n = 4 + 2n + -2n Combine like terms: 2n + -2n = 0 -8 + 2n = 4 + 0 -8 + 2n = 4 Add '8' to each side of the equation. -8 + 8 + 2n = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 2n = 4 + 8 2n = 4 + 8 Combine like terms: 4 + 8 = 12 2n = 12 Divide each side by '2'. n = 6 Simplifying n = 6
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