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Simplifying -4(2m + 5n) + -3(m + -7n) = 0 (2m * -4 + 5n * -4) + -3(m + -7n) = 0 (-8m + -20n) + -3(m + -7n) = 0 -8m + -20n + (m * -3 + -7n * -3) = 0 -8m + -20n + (-3m + 21n) = 0 Reorder the terms: -8m + -3m + -20n + 21n = 0 Combine like terms: -8m + -3m = -11m -11m + -20n + 21n = 0 Combine like terms: -20n + 21n = 1n -11m + 1n = 0 Solving -11m + 1n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1n' to each side of the equation. -11m + 1n + -1n = 0 + -1n Combine like terms: 1n + -1n = 0 -11m + 0 = 0 + -1n -11m = 0 + -1n Remove the zero: -11m = -1n Divide each side by '-11'. m = 0.09090909091n Simplifying m = 0.09090909091n
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