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Simplifying -1n + -26 = 2(1 + -4n) Reorder the terms: -26 + -1n = 2(1 + -4n) -26 + -1n = (1 * 2 + -4n * 2) -26 + -1n = (2 + -8n) Solving -26 + -1n = 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 + -1n + 8n = 2 + -8n + 8n Combine like terms: -1n + 8n = 7n -26 + 7n = 2 + -8n + 8n Combine like terms: -8n + 8n = 0 -26 + 7n = 2 + 0 -26 + 7n = 2 Add '26' to each side of the equation. -26 + 26 + 7n = 2 + 26 Combine like terms: -26 + 26 = 0 0 + 7n = 2 + 26 7n = 2 + 26 Combine like terms: 2 + 26 = 28 7n = 28 Divide each side by '7'. n = 4 Simplifying n = 4
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