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Simplifying 4n + 2(5 + 8n) = -30 4n + (5 * 2 + 8n * 2) = -30 4n + (10 + 16n) = -30 Reorder the terms: 10 + 4n + 16n = -30 Combine like terms: 4n + 16n = 20n 10 + 20n = -30 Solving 10 + 20n = -30 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 20n = -30 + -10 Combine like terms: 10 + -10 = 0 0 + 20n = -30 + -10 20n = -30 + -10 Combine like terms: -30 + -10 = -40 20n = -40 Divide each side by '20'. n = -2 Simplifying n = -2
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