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Simplifying -7(1 + -6n) = 8n + -41 (1 * -7 + -6n * -7) = 8n + -41 (-7 + 42n) = 8n + -41 Reorder the terms: -7 + 42n = -41 + 8n Solving -7 + 42n = -41 + 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. -7 + 42n + -8n = -41 + 8n + -8n Combine like terms: 42n + -8n = 34n -7 + 34n = -41 + 8n + -8n Combine like terms: 8n + -8n = 0 -7 + 34n = -41 + 0 -7 + 34n = -41 Add '7' to each side of the equation. -7 + 7 + 34n = -41 + 7 Combine like terms: -7 + 7 = 0 0 + 34n = -41 + 7 34n = -41 + 7 Combine like terms: -41 + 7 = -34 34n = -34 Divide each side by '34'. n = -1 Simplifying n = -1
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