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Simplifying 6 + 2n + -3 = 8n + 11 + -5n Reorder the terms: 6 + -3 + 2n = 8n + 11 + -5n Combine like terms: 6 + -3 = 3 3 + 2n = 8n + 11 + -5n Reorder the terms: 3 + 2n = 11 + 8n + -5n Combine like terms: 8n + -5n = 3n 3 + 2n = 11 + 3n Solving 3 + 2n = 11 + 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 + 2n + -3n = 11 + 3n + -3n Combine like terms: 2n + -3n = -1n 3 + -1n = 11 + 3n + -3n Combine like terms: 3n + -3n = 0 3 + -1n = 11 + 0 3 + -1n = 11 Add '-3' to each side of the equation. 3 + -3 + -1n = 11 + -3 Combine like terms: 3 + -3 = 0 0 + -1n = 11 + -3 -1n = 11 + -3 Combine like terms: 11 + -3 = 8 -1n = 8 Divide each side by '-1'. n = -8 Simplifying n = -8
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