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Simplifying 5(n + 2r) + 3n = 0 (n * 5 + 2r * 5) + 3n = 0 (5n + 10r) + 3n = 0 Reorder the terms: 5n + 3n + 10r = 0 Combine like terms: 5n + 3n = 8n 8n + 10r = 0 Solving 8n + 10r = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10r' to each side of the equation. 8n + 10r + -10r = 0 + -10r Combine like terms: 10r + -10r = 0 8n + 0 = 0 + -10r 8n = 0 + -10r Remove the zero: 8n = -10r Divide each side by '8'. n = -1.25r Simplifying n = -1.25r
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