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Simplifying -6(1 + -2m + n) = 0 (1 * -6 + -2m * -6 + n * -6) = 0 (-6 + 12m + -6n) = 0 Solving -6 + 12m + -6n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 12m + 6 + -6n = 0 + 6 Reorder the terms: -6 + 6 + 12m + -6n = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 12m + -6n = 0 + 6 12m + -6n = 0 + 6 Combine like terms: 0 + 6 = 6 12m + -6n = 6 Add '6n' to each side of the equation. 12m + -6n + 6n = 6 + 6n Combine like terms: -6n + 6n = 0 12m + 0 = 6 + 6n 12m = 6 + 6n Divide each side by '12'. m = 0.5 + 0.5n Simplifying m = 0.5 + 0.5n
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