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Simplifying 105 = 7(7n + 1) Reorder the terms: 105 = 7(1 + 7n) 105 = (1 * 7 + 7n * 7) 105 = (7 + 49n) Solving 105 = 7 + 49n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-49n' to each side of the equation. 105 + -49n = 7 + 49n + -49n Combine like terms: 49n + -49n = 0 105 + -49n = 7 + 0 105 + -49n = 7 Add '-105' to each side of the equation. 105 + -105 + -49n = 7 + -105 Combine like terms: 105 + -105 = 0 0 + -49n = 7 + -105 -49n = 7 + -105 Combine like terms: 7 + -105 = -98 -49n = -98 Divide each side by '-49'. n = 2 Simplifying n = 2
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