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Simplifying (A + -3)(a + 3) = 16 Reorder the terms: (-3 + A)(a + 3) = 16 Reorder the terms: (-3 + A)(3 + a) = 16 Multiply (-3 + A) * (3 + a) (-3(3 + a) + A(3 + a)) = 16 ((3 * -3 + a * -3) + A(3 + a)) = 16 ((-9 + -3a) + A(3 + a)) = 16 (-9 + -3a + (3 * A + a * A)) = 16 (-9 + -3a + (3A + aA)) = 16 Reorder the terms: (-9 + 3A + -3a + aA) = 16 (-9 + 3A + -3a + aA) = 16 Solving -9 + 3A + -3a + aA = 16 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 3A + -3a + 9 + aA = 16 + 9 Reorder the terms: -9 + 9 + 3A + -3a + aA = 16 + 9 Combine like terms: -9 + 9 = 0 0 + 3A + -3a + aA = 16 + 9 3A + -3a + aA = 16 + 9 Combine like terms: 16 + 9 = 25 3A + -3a + aA = 25 Add '3a' to each side of the equation. 3A + -3a + 3a + aA = 25 + 3a Combine like terms: -3a + 3a = 0 3A + 0 + aA = 25 + 3a 3A + aA = 25 + 3a Reorder the terms: -25 + 3A + -3a + aA = 25 + 3a + -25 + -3a Reorder the terms: -25 + 3A + -3a + aA = 25 + -25 + 3a + -3a Combine like terms: 25 + -25 = 0 -25 + 3A + -3a + aA = 0 + 3a + -3a -25 + 3A + -3a + aA = 3a + -3a Combine like terms: 3a + -3a = 0 -25 + 3A + -3a + aA = 0 The solution to this equation could not be determined.
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