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Simplifying 4(5n + 4) = -8n + 8(5 + 3n) Reorder the terms: 4(4 + 5n) = -8n + 8(5 + 3n) (4 * 4 + 5n * 4) = -8n + 8(5 + 3n) (16 + 20n) = -8n + 8(5 + 3n) 16 + 20n = -8n + (5 * 8 + 3n * 8) 16 + 20n = -8n + (40 + 24n) Reorder the terms: 16 + 20n = 40 + -8n + 24n Combine like terms: -8n + 24n = 16n 16 + 20n = 40 + 16n Solving 16 + 20n = 40 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. 16 + 20n + -16n = 40 + 16n + -16n Combine like terms: 20n + -16n = 4n 16 + 4n = 40 + 16n + -16n Combine like terms: 16n + -16n = 0 16 + 4n = 40 + 0 16 + 4n = 40 Add '-16' to each side of the equation. 16 + -16 + 4n = 40 + -16 Combine like terms: 16 + -16 = 0 0 + 4n = 40 + -16 4n = 40 + -16 Combine like terms: 40 + -16 = 24 4n = 24 Divide each side by '4'. n = 6 Simplifying n = 6
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