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Simplifying 3 + 2(3m + 12) + -6 = 0 Reorder the terms: 3 + 2(12 + 3m) + -6 = 0 3 + (12 * 2 + 3m * 2) + -6 = 0 3 + (24 + 6m) + -6 = 0 Reorder the terms: 3 + 24 + -6 + 6m = 0 Combine like terms: 3 + 24 = 27 27 + -6 + 6m = 0 Combine like terms: 27 + -6 = 21 21 + 6m = 0 Solving 21 + 6m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 6m = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 6m = 0 + -21 6m = 0 + -21 Combine like terms: 0 + -21 = -21 6m = -21 Divide each side by '6'. m = -3.5 Simplifying m = -3.5
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