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Simplifying 6(2m + n + -4) = 0 Reorder the terms: 6(-4 + 2m + n) = 0 (-4 * 6 + 2m * 6 + n * 6) = 0 (-24 + 12m + 6n) = 0 Solving -24 + 12m + 6n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 12m + 24 + 6n = 0 + 24 Reorder the terms: -24 + 24 + 12m + 6n = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 12m + 6n = 0 + 24 12m + 6n = 0 + 24 Combine like terms: 0 + 24 = 24 12m + 6n = 24 Add '-6n' to each side of the equation. 12m + 6n + -6n = 24 + -6n Combine like terms: 6n + -6n = 0 12m + 0 = 24 + -6n 12m = 24 + -6n Divide each side by '12'. m = 2 + -0.5n Simplifying m = 2 + -0.5n
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