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Simplifying 3(4m + 6x + -8n) = 0 Reorder the terms: 3(4m + -8n + 6x) = 0 (4m * 3 + -8n * 3 + 6x * 3) = 0 (12m + -24n + 18x) = 0 Solving 12m + -24n + 18x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '24n' to each side of the equation. 12m + -24n + 24n + 18x = 0 + 24n Combine like terms: -24n + 24n = 0 12m + 0 + 18x = 0 + 24n 12m + 18x = 0 + 24n Remove the zero: 12m + 18x = 24n Add '-18x' to each side of the equation. 12m + 18x + -18x = 24n + -18x Combine like terms: 18x + -18x = 0 12m + 0 = 24n + -18x 12m = 24n + -18x Divide each side by '12'. m = 2n + -1.5x Simplifying m = 2n + -1.5x
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