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Simplifying 41 = 6n + 7(1 + 4n) 41 = 6n + (1 * 7 + 4n * 7) 41 = 6n + (7 + 28n) Reorder the terms: 41 = 7 + 6n + 28n Combine like terms: 6n + 28n = 34n 41 = 7 + 34n Solving 41 = 7 + 34n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-34n' to each side of the equation. 41 + -34n = 7 + 34n + -34n Combine like terms: 34n + -34n = 0 41 + -34n = 7 + 0 41 + -34n = 7 Add '-41' to each side of the equation. 41 + -41 + -34n = 7 + -41 Combine like terms: 41 + -41 = 0 0 + -34n = 7 + -41 -34n = 7 + -41 Combine like terms: 7 + -41 = -34 -34n = -34 Divide each side by '-34'. n = 1 Simplifying n = 1
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