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Simplifying 4(-6 + 3m) + -1(3m + 1) = 0 (-6 * 4 + 3m * 4) + -1(3m + 1) = 0 (-24 + 12m) + -1(3m + 1) = 0 Reorder the terms: -24 + 12m + -1(1 + 3m) = 0 -24 + 12m + (1 * -1 + 3m * -1) = 0 -24 + 12m + (-1 + -3m) = 0 Reorder the terms: -24 + -1 + 12m + -3m = 0 Combine like terms: -24 + -1 = -25 -25 + 12m + -3m = 0 Combine like terms: 12m + -3m = 9m -25 + 9m = 0 Solving -25 + 9m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 9m = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 9m = 0 + 25 9m = 0 + 25 Combine like terms: 0 + 25 = 25 9m = 25 Divide each side by '9'. m = 2.777777778 Simplifying m = 2.777777778
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