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Simplifying 6n + -5 + 3n + 1 = 7 + 3n + 1 Reorder the terms: -5 + 1 + 6n + 3n = 7 + 3n + 1 Combine like terms: -5 + 1 = -4 -4 + 6n + 3n = 7 + 3n + 1 Combine like terms: 6n + 3n = 9n -4 + 9n = 7 + 3n + 1 Reorder the terms: -4 + 9n = 7 + 1 + 3n Combine like terms: 7 + 1 = 8 -4 + 9n = 8 + 3n Solving -4 + 9n = 8 + 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. -4 + 9n + -3n = 8 + 3n + -3n Combine like terms: 9n + -3n = 6n -4 + 6n = 8 + 3n + -3n Combine like terms: 3n + -3n = 0 -4 + 6n = 8 + 0 -4 + 6n = 8 Add '4' to each side of the equation. -4 + 4 + 6n = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 6n = 8 + 4 6n = 8 + 4 Combine like terms: 8 + 4 = 12 6n = 12 Divide each side by '6'. n = 2 Simplifying n = 2
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