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Simplifying 5 + 6n + -3 = 9n + 8 + -5n Reorder the terms: 5 + -3 + 6n = 9n + 8 + -5n Combine like terms: 5 + -3 = 2 2 + 6n = 9n + 8 + -5n Reorder the terms: 2 + 6n = 8 + 9n + -5n Combine like terms: 9n + -5n = 4n 2 + 6n = 8 + 4n Solving 2 + 6n = 8 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 2 + 6n + -4n = 8 + 4n + -4n Combine like terms: 6n + -4n = 2n 2 + 2n = 8 + 4n + -4n Combine like terms: 4n + -4n = 0 2 + 2n = 8 + 0 2 + 2n = 8 Add '-2' to each side of the equation. 2 + -2 + 2n = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 2n = 8 + -2 2n = 8 + -2 Combine like terms: 8 + -2 = 6 2n = 6 Divide each side by '2'. n = 3 Simplifying n = 3
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