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Simplifying 217 = 7(7n + 3) Reorder the terms: 217 = 7(3 + 7n) 217 = (3 * 7 + 7n * 7) 217 = (21 + 49n) Solving 217 = 21 + 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. 217 + -49n = 21 + 49n + -49n Combine like terms: 49n + -49n = 0 217 + -49n = 21 + 0 217 + -49n = 21 Add '-217' to each side of the equation. 217 + -217 + -49n = 21 + -217 Combine like terms: 217 + -217 = 0 0 + -49n = 21 + -217 -49n = 21 + -217 Combine like terms: 21 + -217 = -196 -49n = -196 Divide each side by '-49'. n = 4 Simplifying n = 4
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