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Simplifying 3(3m + 2) + 2(6m + -5) = 0 Reorder the terms: 3(2 + 3m) + 2(6m + -5) = 0 (2 * 3 + 3m * 3) + 2(6m + -5) = 0 (6 + 9m) + 2(6m + -5) = 0 Reorder the terms: 6 + 9m + 2(-5 + 6m) = 0 6 + 9m + (-5 * 2 + 6m * 2) = 0 6 + 9m + (-10 + 12m) = 0 Reorder the terms: 6 + -10 + 9m + 12m = 0 Combine like terms: 6 + -10 = -4 -4 + 9m + 12m = 0 Combine like terms: 9m + 12m = 21m -4 + 21m = 0 Solving -4 + 21m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 21m = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 21m = 0 + 4 21m = 0 + 4 Combine like terms: 0 + 4 = 4 21m = 4 Divide each side by '21'. m = 0.1904761905 Simplifying m = 0.1904761905
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