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Simplifying 4m + -1 + 3m + -7 = 5m + 2 Reorder the terms: -1 + -7 + 4m + 3m = 5m + 2 Combine like terms: -1 + -7 = -8 -8 + 4m + 3m = 5m + 2 Combine like terms: 4m + 3m = 7m -8 + 7m = 5m + 2 Reorder the terms: -8 + 7m = 2 + 5m Solving -8 + 7m = 2 + 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. -8 + 7m + -5m = 2 + 5m + -5m Combine like terms: 7m + -5m = 2m -8 + 2m = 2 + 5m + -5m Combine like terms: 5m + -5m = 0 -8 + 2m = 2 + 0 -8 + 2m = 2 Add '8' to each side of the equation. -8 + 8 + 2m = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 2m = 2 + 8 2m = 2 + 8 Combine like terms: 2 + 8 = 10 2m = 10 Divide each side by '2'. m = 5 Simplifying m = 5
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