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Simplifying -8(1 + -4n) = 40 + 8n (1 * -8 + -4n * -8) = 40 + 8n (-8 + 32n) = 40 + 8n Solving -8 + 32n = 40 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -8 + 32n + -8n = 40 + 8n + -8n Combine like terms: 32n + -8n = 24n -8 + 24n = 40 + 8n + -8n Combine like terms: 8n + -8n = 0 -8 + 24n = 40 + 0 -8 + 24n = 40 Add '8' to each side of the equation. -8 + 8 + 24n = 40 + 8 Combine like terms: -8 + 8 = 0 0 + 24n = 40 + 8 24n = 40 + 8 Combine like terms: 40 + 8 = 48 24n = 48 Divide each side by '24'. n = 2 Simplifying n = 2
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