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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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