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Simplifying 6x(4m + -2) + 2x(-3 + -4m) = 0 Reorder the terms: 6x(-2 + 4m) + 2x(-3 + -4m) = 0 (-2 * 6x + 4m * 6x) + 2x(-3 + -4m) = 0 Reorder the terms: (24mx + -12x) + 2x(-3 + -4m) = 0 (24mx + -12x) + 2x(-3 + -4m) = 0 24mx + -12x + (-3 * 2x + -4m * 2x) = 0 Reorder the terms: 24mx + -12x + (-8mx + -6x) = 0 24mx + -12x + (-8mx + -6x) = 0 Reorder the terms: 24mx + -8mx + -12x + -6x = 0 Combine like terms: 24mx + -8mx = 16mx 16mx + -12x + -6x = 0 Combine like terms: -12x + -6x = -18x 16mx + -18x = 0 Solving 16mx + -18x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '18x' to each side of the equation. 16mx + -18x + 18x = 0 + 18x Combine like terms: -18x + 18x = 0 16mx + 0 = 0 + 18x 16mx = 0 + 18x Remove the zero: 16mx = 18x Divide each side by '16x'. m = 1.125 Simplifying m = 1.125
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