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Simplifying -2(1 + -4m + n) = 0 (1 * -2 + -4m * -2 + n * -2) = 0 (-2 + 8m + -2n) = 0 Solving -2 + 8m + -2n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 8m + 2 + -2n = 0 + 2 Reorder the terms: -2 + 2 + 8m + -2n = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 8m + -2n = 0 + 2 8m + -2n = 0 + 2 Combine like terms: 0 + 2 = 2 8m + -2n = 2 Add '2n' to each side of the equation. 8m + -2n + 2n = 2 + 2n Combine like terms: -2n + 2n = 0 8m + 0 = 2 + 2n 8m = 2 + 2n Divide each side by '8'. m = 0.25 + 0.25n Simplifying m = 0.25 + 0.25n
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