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Simplifying 4(7 + -1n) + -1(1 + -8n) = 8n (7 * 4 + -1n * 4) + -1(1 + -8n) = 8n (28 + -4n) + -1(1 + -8n) = 8n 28 + -4n + (1 * -1 + -8n * -1) = 8n 28 + -4n + (-1 + 8n) = 8n Reorder the terms: 28 + -1 + -4n + 8n = 8n Combine like terms: 28 + -1 = 27 27 + -4n + 8n = 8n Combine like terms: -4n + 8n = 4n 27 + 4n = 8n Solving 27 + 4n = 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. 27 + 4n + -8n = 8n + -8n Combine like terms: 4n + -8n = -4n 27 + -4n = 8n + -8n Combine like terms: 8n + -8n = 0 27 + -4n = 0 Add '-27' to each side of the equation. 27 + -27 + -4n = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -4n = 0 + -27 -4n = 0 + -27 Combine like terms: 0 + -27 = -27 -4n = -27 Divide each side by '-4'. n = 6.75 Simplifying n = 6.75
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