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Simplifying 2(n + 10) = 8n + 5(5 + -1n) Reorder the terms: 2(10 + n) = 8n + 5(5 + -1n) (10 * 2 + n * 2) = 8n + 5(5 + -1n) (20 + 2n) = 8n + 5(5 + -1n) 20 + 2n = 8n + (5 * 5 + -1n * 5) 20 + 2n = 8n + (25 + -5n) Reorder the terms: 20 + 2n = 25 + 8n + -5n Combine like terms: 8n + -5n = 3n 20 + 2n = 25 + 3n Solving 20 + 2n = 25 + 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. 20 + 2n + -3n = 25 + 3n + -3n Combine like terms: 2n + -3n = -1n 20 + -1n = 25 + 3n + -3n Combine like terms: 3n + -3n = 0 20 + -1n = 25 + 0 20 + -1n = 25 Add '-20' to each side of the equation. 20 + -20 + -1n = 25 + -20 Combine like terms: 20 + -20 = 0 0 + -1n = 25 + -20 -1n = 25 + -20 Combine like terms: 25 + -20 = 5 -1n = 5 Divide each side by '-1'. n = -5 Simplifying n = -5
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