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Simplifying (3n + -1)(8m + 7) = 0 Reorder the terms: (-1 + 3n)(8m + 7) = 0 Reorder the terms: (-1 + 3n)(7 + 8m) = 0 Multiply (-1 + 3n) * (7 + 8m) (-1(7 + 8m) + 3n * (7 + 8m)) = 0 ((7 * -1 + 8m * -1) + 3n * (7 + 8m)) = 0 ((-7 + -8m) + 3n * (7 + 8m)) = 0 (-7 + -8m + (7 * 3n + 8m * 3n)) = 0 Reorder the terms: (-7 + -8m + (24mn + 21n)) = 0 (-7 + -8m + (24mn + 21n)) = 0 (-7 + -8m + 24mn + 21n) = 0 Solving -7 + -8m + 24mn + 21n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -8m + 24mn + 7 + 21n = 0 + 7 Reorder the terms: -7 + 7 + -8m + 24mn + 21n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -8m + 24mn + 21n = 0 + 7 -8m + 24mn + 21n = 0 + 7 Combine like terms: 0 + 7 = 7 -8m + 24mn + 21n = 7 Add '-21n' to each side of the equation. -8m + 24mn + 21n + -21n = 7 + -21n Combine like terms: 21n + -21n = 0 -8m + 24mn + 0 = 7 + -21n -8m + 24mn = 7 + -21n Reorder the terms: -7 + -8m + 24mn + 21n = 7 + -21n + -7 + 21n Reorder the terms: -7 + -8m + 24mn + 21n = 7 + -7 + -21n + 21n Combine like terms: 7 + -7 = 0 -7 + -8m + 24mn + 21n = 0 + -21n + 21n -7 + -8m + 24mn + 21n = -21n + 21n Combine like terms: -21n + 21n = 0 -7 + -8m + 24mn + 21n = 0 The solution to this equation could not be determined.
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