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Simplifying 6 + 3m + -3 = 9m + 12 + -7m Reorder the terms: 6 + -3 + 3m = 9m + 12 + -7m Combine like terms: 6 + -3 = 3 3 + 3m = 9m + 12 + -7m Reorder the terms: 3 + 3m = 12 + 9m + -7m Combine like terms: 9m + -7m = 2m 3 + 3m = 12 + 2m Solving 3 + 3m = 12 + 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. 3 + 3m + -2m = 12 + 2m + -2m Combine like terms: 3m + -2m = 1m 3 + 1m = 12 + 2m + -2m Combine like terms: 2m + -2m = 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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