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Simplifying (5r + 6n + 2) + (8r + 2n + -9) = 0 Reorder the terms: (2 + 6n + 5r) + (8r + 2n + -9) = 0 Remove parenthesis around (2 + 6n + 5r) 2 + 6n + 5r + (8r + 2n + -9) = 0 Reorder the terms: 2 + 6n + 5r + (-9 + 2n + 8r) = 0 Remove parenthesis around (-9 + 2n + 8r) 2 + 6n + 5r + -9 + 2n + 8r = 0 Reorder the terms: 2 + -9 + 6n + 2n + 5r + 8r = 0 Combine like terms: 2 + -9 = -7 -7 + 6n + 2n + 5r + 8r = 0 Combine like terms: 6n + 2n = 8n -7 + 8n + 5r + 8r = 0 Combine like terms: 5r + 8r = 13r -7 + 8n + 13r = 0 Solving -7 + 8n + 13r = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 8n + 7 + 13r = 0 + 7 Reorder the terms: -7 + 7 + 8n + 13r = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 8n + 13r = 0 + 7 8n + 13r = 0 + 7 Combine like terms: 0 + 7 = 7 8n + 13r = 7 Add '-13r' to each side of the equation. 8n + 13r + -13r = 7 + -13r Combine like terms: 13r + -13r = 0 8n + 0 = 7 + -13r 8n = 7 + -13r Divide each side by '8'. n = 0.875 + -1.625r Simplifying n = 0.875 + -1.625r
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