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Simplifying 217 = -7n + 7(7n + 7) Reorder the terms: 217 = -7n + 7(7 + 7n) 217 = -7n + (7 * 7 + 7n * 7) 217 = -7n + (49 + 49n) Reorder the terms: 217 = 49 + -7n + 49n Combine like terms: -7n + 49n = 42n 217 = 49 + 42n Solving 217 = 49 + 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. 217 + -42n = 49 + 42n + -42n Combine like terms: 42n + -42n = 0 217 + -42n = 49 + 0 217 + -42n = 49 Add '-217' to each side of the equation. 217 + -217 + -42n = 49 + -217 Combine like terms: 217 + -217 = 0 0 + -42n = 49 + -217 -42n = 49 + -217 Combine like terms: 49 + -217 = -168 -42n = -168 Divide each side by '-42'. n = 4 Simplifying n = 4
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