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Simplifying 5(2 + -1n) = 3(n + 6) (2 * 5 + -1n * 5) = 3(n + 6) (10 + -5n) = 3(n + 6) Reorder the terms: 10 + -5n = 3(6 + n) 10 + -5n = (6 * 3 + n * 3) 10 + -5n = (18 + 3n) Solving 10 + -5n = 18 + 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. 10 + -5n + -3n = 18 + 3n + -3n Combine like terms: -5n + -3n = -8n 10 + -8n = 18 + 3n + -3n Combine like terms: 3n + -3n = 0 10 + -8n = 18 + 0 10 + -8n = 18 Add '-10' to each side of the equation. 10 + -10 + -8n = 18 + -10 Combine like terms: 10 + -10 = 0 0 + -8n = 18 + -10 -8n = 18 + -10 Combine like terms: 18 + -10 = 8 -8n = 8 Divide each side by '-8'. n = -1 Simplifying n = -1
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