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Simplifying 4(2m + -1n) + -3(2m + -1n) = 0 (2m * 4 + -1n * 4) + -3(2m + -1n) = 0 (8m + -4n) + -3(2m + -1n) = 0 8m + -4n + (2m * -3 + -1n * -3) = 0 8m + -4n + (-6m + 3n) = 0 Reorder the terms: 8m + -6m + -4n + 3n = 0 Combine like terms: 8m + -6m = 2m 2m + -4n + 3n = 0 Combine like terms: -4n + 3n = -1n 2m + -1n = 0 Solving 2m + -1n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'n' to each side of the equation. 2m + -1n + n = 0 + n Combine like terms: -1n + n = 0 2m + 0 = 0 + n 2m = 0 + n Remove the zero: 2m = n Divide each side by '2'. m = 0.5n Simplifying m = 0.5n
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