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Simplifying 3(4m + -1) + -4(m + -3) = 0 Reorder the terms: 3(-1 + 4m) + -4(m + -3) = 0 (-1 * 3 + 4m * 3) + -4(m + -3) = 0 (-3 + 12m) + -4(m + -3) = 0 Reorder the terms: -3 + 12m + -4(-3 + m) = 0 -3 + 12m + (-3 * -4 + m * -4) = 0 -3 + 12m + (12 + -4m) = 0 Reorder the terms: -3 + 12 + 12m + -4m = 0 Combine like terms: -3 + 12 = 9 9 + 12m + -4m = 0 Combine like terms: 12m + -4m = 8m 9 + 8m = 0 Solving 9 + 8m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 8m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 8m = 0 + -9 8m = 0 + -9 Combine like terms: 0 + -9 = -9 8m = -9 Divide each side by '8'. m = -1.125 Simplifying m = -1.125
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