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Simplifying (8n) + -19 = 11 + (6n) Reorder the terms: -19 + (8n) = 11 + (6n) Solving -19 + (8n) = 11 + (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. -19 + (8n) + (-6n) = 11 + (6n) + (-6n) Combine like terms: (8n) + (-6n) = 2n -19 + 2n = 11 + (6n) + (-6n) Combine like terms: (6n) + (-6n) = 0 -19 + 2n = 11 + 0 -19 + 2n = 11 Add '19' to each side of the equation. -19 + 19 + 2n = 11 + 19 Combine like terms: -19 + 19 = 0 0 + 2n = 11 + 19 2n = 11 + 19 Combine like terms: 11 + 19 = 30 2n = 30 Divide each side by '2'. n = 15 Simplifying n = 15
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