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Simplifying -6(2n + 1) = -26 + -8n Reorder the terms: -6(1 + 2n) = -26 + -8n (1 * -6 + 2n * -6) = -26 + -8n (-6 + -12n) = -26 + -8n Solving -6 + -12n = -26 + -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. -6 + -12n + 8n = -26 + -8n + 8n Combine like terms: -12n + 8n = -4n -6 + -4n = -26 + -8n + 8n Combine like terms: -8n + 8n = 0 -6 + -4n = -26 + 0 -6 + -4n = -26 Add '6' to each side of the equation. -6 + 6 + -4n = -26 + 6 Combine like terms: -6 + 6 = 0 0 + -4n = -26 + 6 -4n = -26 + 6 Combine like terms: -26 + 6 = -20 -4n = -20 Divide each side by '-4'. n = 5 Simplifying n = 5
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