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Simplifying -6(7 + -7n) = 8n + 26 (7 * -6 + -7n * -6) = 8n + 26 (-42 + 42n) = 8n + 26 Reorder the terms: -42 + 42n = 26 + 8n Solving -42 + 42n = 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. -42 + 42n + -8n = 26 + 8n + -8n Combine like terms: 42n + -8n = 34n -42 + 34n = 26 + 8n + -8n Combine like terms: 8n + -8n = 0 -42 + 34n = 26 + 0 -42 + 34n = 26 Add '42' to each side of the equation. -42 + 42 + 34n = 26 + 42 Combine like terms: -42 + 42 = 0 0 + 34n = 26 + 42 34n = 26 + 42 Combine like terms: 26 + 42 = 68 34n = 68 Divide each side by '34'. n = 2 Simplifying n = 2
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