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Simplifying (21 + -4m)(23 + -3n) = 17 Multiply (21 + -4m) * (23 + -3n) (21(23 + -3n) + -4m * (23 + -3n)) = 17 ((23 * 21 + -3n * 21) + -4m * (23 + -3n)) = 17 ((483 + -63n) + -4m * (23 + -3n)) = 17 (483 + -63n + (23 * -4m + -3n * -4m)) = 17 (483 + -63n + (-92m + 12mn)) = 17 Reorder the terms: (483 + -92m + 12mn + -63n) = 17 (483 + -92m + 12mn + -63n) = 17 Solving 483 + -92m + 12mn + -63n = 17 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-483' to each side of the equation. 483 + -92m + 12mn + -483 + -63n = 17 + -483 Reorder the terms: 483 + -483 + -92m + 12mn + -63n = 17 + -483 Combine like terms: 483 + -483 = 0 0 + -92m + 12mn + -63n = 17 + -483 -92m + 12mn + -63n = 17 + -483 Combine like terms: 17 + -483 = -466 -92m + 12mn + -63n = -466 Add '63n' to each side of the equation. -92m + 12mn + -63n + 63n = -466 + 63n Combine like terms: -63n + 63n = 0 -92m + 12mn + 0 = -466 + 63n -92m + 12mn = -466 + 63n Reorder the terms: 466 + -92m + 12mn + -63n = -466 + 63n + 466 + -63n Reorder the terms: 466 + -92m + 12mn + -63n = -466 + 466 + 63n + -63n Combine like terms: -466 + 466 = 0 466 + -92m + 12mn + -63n = 0 + 63n + -63n 466 + -92m + 12mn + -63n = 63n + -63n Combine like terms: 63n + -63n = 0 466 + -92m + 12mn + -63n = 0 The solution to this equation could not be determined.
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