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Simplifying 343 = 7(7 + 7m) 343 = (7 * 7 + 7m * 7) 343 = (49 + 49m) Solving 343 = 49 + 49m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-49m' to each side of the equation. 343 + -49m = 49 + 49m + -49m Combine like terms: 49m + -49m = 0 343 + -49m = 49 + 0 343 + -49m = 49 Add '-343' to each side of the equation. 343 + -343 + -49m = 49 + -343 Combine like terms: 343 + -343 = 0 0 + -49m = 49 + -343 -49m = 49 + -343 Combine like terms: 49 + -343 = -294 -49m = -294 Divide each side by '-49'. m = 6 Simplifying m = 6
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