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Simplifying 6 + 2m + -3 = 7m + 12 + -4m Reorder the terms: 6 + -3 + 2m = 7m + 12 + -4m Combine like terms: 6 + -3 = 3 3 + 2m = 7m + 12 + -4m Reorder the terms: 3 + 2m = 12 + 7m + -4m Combine like terms: 7m + -4m = 3m 3 + 2m = 12 + 3m Solving 3 + 2m = 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. 3 + 2m + -3m = 12 + 3m + -3m Combine like terms: 2m + -3m = -1m 3 + -1m = 12 + 3m + -3m Combine like terms: 3m + -3m = 0 3 + -1m = 12 + 0 3 + -1m = 12 Add '-3' to each side of the equation. 3 + -3 + -1m = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 12 + -3 -1m = 12 + -3 Combine like terms: 12 + -3 = 9 -1m = 9 Divide each side by '-1'. m = -9 Simplifying m = -9
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