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Simplifying 12 + 3m = 7m + -2m Combine like terms: 7m + -2m = 5m 12 + 3m = 5m Solving 12 + 3m = 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. 12 + 3m + -5m = 5m + -5m Combine like terms: 3m + -5m = -2m 12 + -2m = 5m + -5m Combine like terms: 5m + -5m = 0 12 + -2m = 0 Add '-12' to each side of the equation. 12 + -12 + -2m = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -2m = 0 + -12 -2m = 0 + -12 Combine like terms: 0 + -12 = -12 -2m = -12 Divide each side by '-2'. m = 6 Simplifying m = 6
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