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Simplifying -3 + 7(3m + 7) = -34 + 5m Reorder the terms: -3 + 7(7 + 3m) = -34 + 5m -3 + (7 * 7 + 3m * 7) = -34 + 5m -3 + (49 + 21m) = -34 + 5m Combine like terms: -3 + 49 = 46 46 + 21m = -34 + 5m Solving 46 + 21m = -34 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 46 + 21m + -5m = -34 + 5m + -5m Combine like terms: 21m + -5m = 16m 46 + 16m = -34 + 5m + -5m Combine like terms: 5m + -5m = 0 46 + 16m = -34 + 0 46 + 16m = -34 Add '-46' to each side of the equation. 46 + -46 + 16m = -34 + -46 Combine like terms: 46 + -46 = 0 0 + 16m = -34 + -46 16m = -34 + -46 Combine like terms: -34 + -46 = -80 16m = -80 Divide each side by '16'. m = -5 Simplifying m = -5
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