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Simplifying (2n + 3)(4m + 3) = 0 Reorder the terms: (3 + 2n)(4m + 3) = 0 Reorder the terms: (3 + 2n)(3 + 4m) = 0 Multiply (3 + 2n) * (3 + 4m) (3(3 + 4m) + 2n * (3 + 4m)) = 0 ((3 * 3 + 4m * 3) + 2n * (3 + 4m)) = 0 ((9 + 12m) + 2n * (3 + 4m)) = 0 (9 + 12m + (3 * 2n + 4m * 2n)) = 0 Reorder the terms: (9 + 12m + (8mn + 6n)) = 0 (9 + 12m + (8mn + 6n)) = 0 (9 + 12m + 8mn + 6n) = 0 Solving 9 + 12m + 8mn + 6n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 12m + 8mn + -9 + 6n = 0 + -9 Reorder the terms: 9 + -9 + 12m + 8mn + 6n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 12m + 8mn + 6n = 0 + -9 12m + 8mn + 6n = 0 + -9 Combine like terms: 0 + -9 = -9 12m + 8mn + 6n = -9 Add '-6n' to each side of the equation. 12m + 8mn + 6n + -6n = -9 + -6n Combine like terms: 6n + -6n = 0 12m + 8mn + 0 = -9 + -6n 12m + 8mn = -9 + -6n Reorder the terms: 9 + 12m + 8mn + 6n = -9 + -6n + 9 + 6n Reorder the terms: 9 + 12m + 8mn + 6n = -9 + 9 + -6n + 6n Combine like terms: -9 + 9 = 0 9 + 12m + 8mn + 6n = 0 + -6n + 6n 9 + 12m + 8mn + 6n = -6n + 6n Combine like terms: -6n + 6n = 0 9 + 12m + 8mn + 6n = 0 The solution to this equation could not be determined.
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