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Simplifying -3m(1 + 2n) + -4(m + -1n) + 6mn = 0 (1 * -3m + 2n * -3m) + -4(m + -1n) + 6mn = 0 (-3m + -6mn) + -4(m + -1n) + 6mn = 0 -3m + -6mn + (m * -4 + -1n * -4) + 6mn = 0 -3m + -6mn + (-4m + 4n) + 6mn = 0 Reorder the terms: -3m + -4m + -6mn + 6mn + 4n = 0 Combine like terms: -3m + -4m = -7m -7m + -6mn + 6mn + 4n = 0 Combine like terms: -6mn + 6mn = 0 -7m + 0 + 4n = 0 -7m + 4n = 0 Solving -7m + 4n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4n' to each side of the equation. -7m + 4n + -4n = 0 + -4n Combine like terms: 4n + -4n = 0 -7m + 0 = 0 + -4n -7m = 0 + -4n Remove the zero: -7m = -4n Divide each side by '-7'. m = 0.5714285714n Simplifying m = 0.5714285714n
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