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Simplifying 4n + -6 + 2n + 3 = 8 + 3n + 1 Reorder the terms: -6 + 3 + 4n + 2n = 8 + 3n + 1 Combine like terms: -6 + 3 = -3 -3 + 4n + 2n = 8 + 3n + 1 Combine like terms: 4n + 2n = 6n -3 + 6n = 8 + 3n + 1 Reorder the terms: -3 + 6n = 8 + 1 + 3n Combine like terms: 8 + 1 = 9 -3 + 6n = 9 + 3n Solving -3 + 6n = 9 + 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. -3 + 6n + -3n = 9 + 3n + -3n Combine like terms: 6n + -3n = 3n -3 + 3n = 9 + 3n + -3n Combine like terms: 3n + -3n = 0 -3 + 3n = 9 + 0 -3 + 3n = 9 Add '3' to each side of the equation. -3 + 3 + 3n = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 3n = 9 + 3 3n = 9 + 3 Combine like terms: 9 + 3 = 12 3n = 12 Divide each side by '3'. n = 4 Simplifying n = 4
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