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Simplifying 4(1 + -8n) = 5 + 3(5 + -8n) (1 * 4 + -8n * 4) = 5 + 3(5 + -8n) (4 + -32n) = 5 + 3(5 + -8n) 4 + -32n = 5 + (5 * 3 + -8n * 3) 4 + -32n = 5 + (15 + -24n) Combine like terms: 5 + 15 = 20 4 + -32n = 20 + -24n Solving 4 + -32n = 20 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. 4 + -32n + 24n = 20 + -24n + 24n Combine like terms: -32n + 24n = -8n 4 + -8n = 20 + -24n + 24n Combine like terms: -24n + 24n = 0 4 + -8n = 20 + 0 4 + -8n = 20 Add '-4' to each side of the equation. 4 + -4 + -8n = 20 + -4 Combine like terms: 4 + -4 = 0 0 + -8n = 20 + -4 -8n = 20 + -4 Combine like terms: 20 + -4 = 16 -8n = 16 Divide each side by '-8'. n = -2 Simplifying n = -2
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