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Simplifying -5n + -26 = -2(1 + 4n) Reorder the terms: -26 + -5n = -2(1 + 4n) -26 + -5n = (1 * -2 + 4n * -2) -26 + -5n = (-2 + -8n) Solving -26 + -5n = -2 + -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. -26 + -5n + 8n = -2 + -8n + 8n Combine like terms: -5n + 8n = 3n -26 + 3n = -2 + -8n + 8n Combine like terms: -8n + 8n = 0 -26 + 3n = -2 + 0 -26 + 3n = -2 Add '26' to each side of the equation. -26 + 26 + 3n = -2 + 26 Combine like terms: -26 + 26 = 0 0 + 3n = -2 + 26 3n = -2 + 26 Combine like terms: -2 + 26 = 24 3n = 24 Divide each side by '3'. n = 8 Simplifying n = 8
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