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Simplifying 7(3m + 7) = 5 + 3m Reorder the terms: 7(7 + 3m) = 5 + 3m (7 * 7 + 3m * 7) = 5 + 3m (49 + 21m) = 5 + 3m Solving 49 + 21m = 5 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 49 + 21m + -3m = 5 + 3m + -3m Combine like terms: 21m + -3m = 18m 49 + 18m = 5 + 3m + -3m Combine like terms: 3m + -3m = 0 49 + 18m = 5 + 0 49 + 18m = 5 Add '-49' to each side of the equation. 49 + -49 + 18m = 5 + -49 Combine like terms: 49 + -49 = 0 0 + 18m = 5 + -49 18m = 5 + -49 Combine like terms: 5 + -49 = -44 18m = -44 Divide each side by '18'. m = -2.444444444 Simplifying m = -2.444444444
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