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Simplifying (3m + -4n + -7)(8m + n + -6) = 0 Reorder the terms: (-7 + 3m + -4n)(8m + n + -6) = 0 Reorder the terms: (-7 + 3m + -4n)(-6 + 8m + n) = 0 Multiply (-7 + 3m + -4n) * (-6 + 8m + n) (-7(-6 + 8m + n) + 3m * (-6 + 8m + n) + -4n * (-6 + 8m + n)) = 0 ((-6 * -7 + 8m * -7 + n * -7) + 3m * (-6 + 8m + n) + -4n * (-6 + 8m + n)) = 0 ((42 + -56m + -7n) + 3m * (-6 + 8m + n) + -4n * (-6 + 8m + n)) = 0 (42 + -56m + -7n + (-6 * 3m + 8m * 3m + n * 3m) + -4n * (-6 + 8m + n)) = 0 Reorder the terms: (42 + -56m + -7n + (-18m + 3mn + 24m2) + -4n * (-6 + 8m + n)) = 0 (42 + -56m + -7n + (-18m + 3mn + 24m2) + -4n * (-6 + 8m + n)) = 0 (42 + -56m + -7n + -18m + 3mn + 24m2 + (-6 * -4n + 8m * -4n + n * -4n)) = 0 Reorder the terms: (42 + -56m + -7n + -18m + 3mn + 24m2 + (-32mn + 24n + -4n2)) = 0 (42 + -56m + -7n + -18m + 3mn + 24m2 + (-32mn + 24n + -4n2)) = 0 Reorder the terms: (42 + -56m + -18m + 3mn + -32mn + 24m2 + -7n + 24n + -4n2) = 0 Combine like terms: -56m + -18m = -74m (42 + -74m + 3mn + -32mn + 24m2 + -7n + 24n + -4n2) = 0 Combine like terms: 3mn + -32mn = -29mn (42 + -74m + -29mn + 24m2 + -7n + 24n + -4n2) = 0 Combine like terms: -7n + 24n = 17n (42 + -74m + -29mn + 24m2 + 17n + -4n2) = 0 Solving 42 + -74m + -29mn + 24m2 + 17n + -4n2 = 0 Solving for variable 'm'. The solution to this equation could not be determined.
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