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Simplifying 2(3 + -4m) + -4(2m + -4) = 0 (3 * 2 + -4m * 2) + -4(2m + -4) = 0 (6 + -8m) + -4(2m + -4) = 0 Reorder the terms: 6 + -8m + -4(-4 + 2m) = 0 6 + -8m + (-4 * -4 + 2m * -4) = 0 6 + -8m + (16 + -8m) = 0 Reorder the terms: 6 + 16 + -8m + -8m = 0 Combine like terms: 6 + 16 = 22 22 + -8m + -8m = 0 Combine like terms: -8m + -8m = -16m 22 + -16m = 0 Solving 22 + -16m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -16m = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -16m = 0 + -22 -16m = 0 + -22 Combine like terms: 0 + -22 = -22 -16m = -22 Divide each side by '-16'. m = 1.375 Simplifying m = 1.375
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