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