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Simplifying (3a + 10)(4n + -3) = 0 Reorder the terms: (10 + 3a)(4n + -3) = 0 Reorder the terms: (10 + 3a)(-3 + 4n) = 0 Multiply (10 + 3a) * (-3 + 4n) (10(-3 + 4n) + 3a * (-3 + 4n)) = 0 ((-3 * 10 + 4n * 10) + 3a * (-3 + 4n)) = 0 ((-30 + 40n) + 3a * (-3 + 4n)) = 0 (-30 + 40n + (-3 * 3a + 4n * 3a)) = 0 (-30 + 40n + (-9a + 12an)) = 0 Reorder the terms: (-30 + -9a + 12an + 40n) = 0 (-30 + -9a + 12an + 40n) = 0 Solving -30 + -9a + 12an + 40n = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '30' to each side of the equation. -30 + -9a + 12an + 30 + 40n = 0 + 30 Reorder the terms: -30 + 30 + -9a + 12an + 40n = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -9a + 12an + 40n = 0 + 30 -9a + 12an + 40n = 0 + 30 Combine like terms: 0 + 30 = 30 -9a + 12an + 40n = 30 Add '-40n' to each side of the equation. -9a + 12an + 40n + -40n = 30 + -40n Combine like terms: 40n + -40n = 0 -9a + 12an + 0 = 30 + -40n -9a + 12an = 30 + -40n Reorder the terms: -30 + -9a + 12an + 40n = 30 + -40n + -30 + 40n Reorder the terms: -30 + -9a + 12an + 40n = 30 + -30 + -40n + 40n Combine like terms: 30 + -30 = 0 -30 + -9a + 12an + 40n = 0 + -40n + 40n -30 + -9a + 12an + 40n = -40n + 40n Combine like terms: -40n + 40n = 0 -30 + -9a + 12an + 40n = 0 The solution to this equation could not be determined.
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