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Simplifying 4(3m + -2) + -3(m + 4) = 0 Reorder the terms: 4(-2 + 3m) + -3(m + 4) = 0 (-2 * 4 + 3m * 4) + -3(m + 4) = 0 (-8 + 12m) + -3(m + 4) = 0 Reorder the terms: -8 + 12m + -3(4 + m) = 0 -8 + 12m + (4 * -3 + m * -3) = 0 -8 + 12m + (-12 + -3m) = 0 Reorder the terms: -8 + -12 + 12m + -3m = 0 Combine like terms: -8 + -12 = -20 -20 + 12m + -3m = 0 Combine like terms: 12m + -3m = 9m -20 + 9m = 0 Solving -20 + 9m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 9m = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 9m = 0 + 20 9m = 0 + 20 Combine like terms: 0 + 20 = 20 9m = 20 Divide each side by '9'. m = 2.222222222 Simplifying m = 2.222222222
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