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Simplifying 343 = 42n + 49 Reorder the terms: 343 = 49 + 42n Solving 343 = 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. 343 + -42n = 49 + 42n + -42n Combine like terms: 42n + -42n = 0 343 + -42n = 49 + 0 343 + -42n = 49 Add '-343' to each side of the equation. 343 + -343 + -42n = 49 + -343 Combine like terms: 343 + -343 = 0 0 + -42n = 49 + -343 -42n = 49 + -343 Combine like terms: 49 + -343 = -294 -42n = -294 Divide each side by '-42'. n = 7 Simplifying n = 7
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