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Simplifying 7 + 4m + -3 = 5m + 12 + -2m Reorder the terms: 7 + -3 + 4m = 5m + 12 + -2m Combine like terms: 7 + -3 = 4 4 + 4m = 5m + 12 + -2m Reorder the terms: 4 + 4m = 12 + 5m + -2m Combine like terms: 5m + -2m = 3m 4 + 4m = 12 + 3m Solving 4 + 4m = 12 + 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. 4 + 4m + -3m = 12 + 3m + -3m Combine like terms: 4m + -3m = 1m 4 + 1m = 12 + 3m + -3m Combine like terms: 3m + -3m = 0 4 + 1m = 12 + 0 4 + 1m = 12 Add '-4' to each side of the equation. 4 + -4 + 1m = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 1m = 12 + -4 1m = 12 + -4 Combine like terms: 12 + -4 = 8 1m = 8 Divide each side by '1'. m = 8 Simplifying m = 8
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