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Simplifying (A + 3)(a + 12) = 90 Reorder the terms: (3 + A)(a + 12) = 90 Reorder the terms: (3 + A)(12 + a) = 90 Multiply (3 + A) * (12 + a) (3(12 + a) + A(12 + a)) = 90 ((12 * 3 + a * 3) + A(12 + a)) = 90 ((36 + 3a) + A(12 + a)) = 90 (36 + 3a + (12 * A + a * A)) = 90 (36 + 3a + (12A + aA)) = 90 Reorder the terms: (36 + 12A + 3a + aA) = 90 (36 + 12A + 3a + aA) = 90 Solving 36 + 12A + 3a + aA = 90 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + 12A + 3a + -36 + aA = 90 + -36 Reorder the terms: 36 + -36 + 12A + 3a + aA = 90 + -36 Combine like terms: 36 + -36 = 0 0 + 12A + 3a + aA = 90 + -36 12A + 3a + aA = 90 + -36 Combine like terms: 90 + -36 = 54 12A + 3a + aA = 54 Add '-3a' to each side of the equation. 12A + 3a + -3a + aA = 54 + -3a Combine like terms: 3a + -3a = 0 12A + 0 + aA = 54 + -3a 12A + aA = 54 + -3a Reorder the terms: -54 + 12A + 3a + aA = 54 + -3a + -54 + 3a Reorder the terms: -54 + 12A + 3a + aA = 54 + -54 + -3a + 3a Combine like terms: 54 + -54 = 0 -54 + 12A + 3a + aA = 0 + -3a + 3a -54 + 12A + 3a + aA = -3a + 3a Combine like terms: -3a + 3a = 0 -54 + 12A + 3a + aA = 0 The solution to this equation could not be determined.
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