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Simplifying 3m + 12 = 2m + 7 Reorder the terms: 12 + 3m = 2m + 7 Reorder the terms: 12 + 3m = 7 + 2m Solving 12 + 3m = 7 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 12 + 3m + -2m = 7 + 2m + -2m Combine like terms: 3m + -2m = 1m 12 + 1m = 7 + 2m + -2m Combine like terms: 2m + -2m = 0 12 + 1m = 7 + 0 12 + 1m = 7 Add '-12' to each side of the equation. 12 + -12 + 1m = 7 + -12 Combine like terms: 12 + -12 = 0 0 + 1m = 7 + -12 1m = 7 + -12 Combine like terms: 7 + -12 = -5 1m = -5 Divide each side by '1'. m = -5 Simplifying m = -5
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