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Simplifying (2m + -1n)(c + -2a) = 0 Reorder the terms: (2m + -1n)(-2a + c) = 0 Multiply (2m + -1n) * (-2a + c) (2m * (-2a + c) + -1n * (-2a + c)) = 0 ((-2a * 2m + c * 2m) + -1n * (-2a + c)) = 0 ((-4am + 2cm) + -1n * (-2a + c)) = 0 (-4am + 2cm + (-2a * -1n + c * -1n)) = 0 (-4am + 2cm + (2an + -1cn)) = 0 Reorder the terms: (-4am + 2an + 2cm + -1cn) = 0 (-4am + 2an + 2cm + -1cn) = 0 Solving -4am + 2an + 2cm + -1cn = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2cm' to each side of the equation. -4am + 2an + 2cm + -2cm + -1cn = 0 + -2cm Combine like terms: 2cm + -2cm = 0 -4am + 2an + 0 + -1cn = 0 + -2cm -4am + 2an + -1cn = 0 + -2cm Remove the zero: -4am + 2an + -1cn = -2cm Add 'cn' to each side of the equation. -4am + 2an + -1cn + cn = -2cm + cn Combine like terms: -1cn + cn = 0 -4am + 2an + 0 = -2cm + cn -4am + 2an = -2cm + cn Reorder the terms: -4am + 2an + 2cm + -1cn = -2cm + 2cm + cn + -1cn Combine like terms: -2cm + 2cm = 0 -4am + 2an + 2cm + -1cn = 0 + cn + -1cn -4am + 2an + 2cm + -1cn = cn + -1cn Combine like terms: cn + -1cn = 0 -4am + 2an + 2cm + -1cn = 0 The solution to this equation could not be determined.
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