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Simplifying 3m + 12 = 6m + -9 Reorder the terms: 12 + 3m = 6m + -9 Reorder the terms: 12 + 3m = -9 + 6m Solving 12 + 3m = -9 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 12 + 3m + -6m = -9 + 6m + -6m Combine like terms: 3m + -6m = -3m 12 + -3m = -9 + 6m + -6m Combine like terms: 6m + -6m = 0 12 + -3m = -9 + 0 12 + -3m = -9 Add '-12' to each side of the equation. 12 + -12 + -3m = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -3m = -9 + -12 -3m = -9 + -12 Combine like terms: -9 + -12 = -21 -3m = -21 Divide each side by '-3'. m = 7 Simplifying m = 7
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