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Simplifying 0.2(15n + 5) = 8n + -9 Reorder the terms: 0.2(5 + 15n) = 8n + -9 (5 * 0.2 + 15n * 0.2) = 8n + -9 (1 + 3n) = 8n + -9 Reorder the terms: 1 + 3n = -9 + 8n Solving 1 + 3n = -9 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 1 + 3n + -8n = -9 + 8n + -8n Combine like terms: 3n + -8n = -5n 1 + -5n = -9 + 8n + -8n Combine like terms: 8n + -8n = 0 1 + -5n = -9 + 0 1 + -5n = -9 Add '-1' to each side of the equation. 1 + -1 + -5n = -9 + -1 Combine like terms: 1 + -1 = 0 0 + -5n = -9 + -1 -5n = -9 + -1 Combine like terms: -9 + -1 = -10 -5n = -10 Divide each side by '-5'. n = 2 Simplifying n = 2
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