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Simplifying 4(2m + -1n) + 3(m + -3n) = 0 (2m * 4 + -1n * 4) + 3(m + -3n) = 0 (8m + -4n) + 3(m + -3n) = 0 8m + -4n + (m * 3 + -3n * 3) = 0 8m + -4n + (3m + -9n) = 0 Reorder the terms: 8m + 3m + -4n + -9n = 0 Combine like terms: 8m + 3m = 11m 11m + -4n + -9n = 0 Combine like terms: -4n + -9n = -13n 11m + -13n = 0 Solving 11m + -13n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '13n' to each side of the equation. 11m + -13n + 13n = 0 + 13n Combine like terms: -13n + 13n = 0 11m + 0 = 0 + 13n 11m = 0 + 13n Remove the zero: 11m = 13n Divide each side by '11'. m = 1.181818182n Simplifying m = 1.181818182n
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