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Simplifying 5n + -4 + 3n + 1 = 7 + 6n + 2 Reorder the terms: -4 + 1 + 5n + 3n = 7 + 6n + 2 Combine like terms: -4 + 1 = -3 -3 + 5n + 3n = 7 + 6n + 2 Combine like terms: 5n + 3n = 8n -3 + 8n = 7 + 6n + 2 Reorder the terms: -3 + 8n = 7 + 2 + 6n Combine like terms: 7 + 2 = 9 -3 + 8n = 9 + 6n Solving -3 + 8n = 9 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -3 + 8n + -6n = 9 + 6n + -6n Combine like terms: 8n + -6n = 2n -3 + 2n = 9 + 6n + -6n Combine like terms: 6n + -6n = 0 -3 + 2n = 9 + 0 -3 + 2n = 9 Add '3' to each side of the equation. -3 + 3 + 2n = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 2n = 9 + 3 2n = 9 + 3 Combine like terms: 9 + 3 = 12 2n = 12 Divide each side by '2'. n = 6 Simplifying n = 6
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