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Simplifying -4(7 + -3n) + -1(2 + 8n) = -26 (7 * -4 + -3n * -4) + -1(2 + 8n) = -26 (-28 + 12n) + -1(2 + 8n) = -26 -28 + 12n + (2 * -1 + 8n * -1) = -26 -28 + 12n + (-2 + -8n) = -26 Reorder the terms: -28 + -2 + 12n + -8n = -26 Combine like terms: -28 + -2 = -30 -30 + 12n + -8n = -26 Combine like terms: 12n + -8n = 4n -30 + 4n = -26 Solving -30 + 4n = -26 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 4n = -26 + 30 Combine like terms: -30 + 30 = 0 0 + 4n = -26 + 30 4n = -26 + 30 Combine like terms: -26 + 30 = 4 4n = 4 Divide each side by '4'. n = 1 Simplifying n = 1
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