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Simplifying 49 = (3m + -2) + (5m + 3) + (4m) + (4m) Reorder the terms: 49 = (-2 + 3m) + (5m + 3) + (4m) + (4m) Remove parenthesis around (-2 + 3m) 49 = -2 + 3m + (5m + 3) + (4m) + (4m) Reorder the terms: 49 = -2 + 3m + (3 + 5m) + (4m) + (4m) Remove parenthesis around (3 + 5m) 49 = -2 + 3m + 3 + 5m + (4m) + (4m) Reorder the terms: 49 = -2 + 3 + 3m + 5m + (4m) + (4m) Combine like terms: -2 + 3 = 1 49 = 1 + 3m + 5m + (4m) + (4m) Combine like terms: 3m + 5m = 8m 49 = 1 + 8m + (4m) + (4m) Combine like terms: 8m + (4m) = 12m 49 = 1 + 12m + (4m) Combine like terms: 12m + (4m) = 16m 49 = 1 + 16m Solving 49 = 1 + 16m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-16m' to each side of the equation. 49 + -16m = 1 + 16m + -16m Combine like terms: 16m + -16m = 0 49 + -16m = 1 + 0 49 + -16m = 1 Add '-49' to each side of the equation. 49 + -49 + -16m = 1 + -49 Combine like terms: 49 + -49 = 0 0 + -16m = 1 + -49 -16m = 1 + -49 Combine like terms: 1 + -49 = -48 -16m = -48 Divide each side by '-16'. m = 3 Simplifying m = 3
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