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Simplifying (A + 7)(a + -3) = 24 Reorder the terms: (7 + A)(a + -3) = 24 Reorder the terms: (7 + A)(-3 + a) = 24 Multiply (7 + A) * (-3 + a) (7(-3 + a) + A(-3 + a)) = 24 ((-3 * 7 + a * 7) + A(-3 + a)) = 24 ((-21 + 7a) + A(-3 + a)) = 24 (-21 + 7a + (-3 * A + a * A)) = 24 (-21 + 7a + (-3A + aA)) = 24 Reorder the terms: (-21 + -3A + 7a + aA) = 24 (-21 + -3A + 7a + aA) = 24 Solving -21 + -3A + 7a + aA = 24 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '21' to each side of the equation. -21 + -3A + 7a + 21 + aA = 24 + 21 Reorder the terms: -21 + 21 + -3A + 7a + aA = 24 + 21 Combine like terms: -21 + 21 = 0 0 + -3A + 7a + aA = 24 + 21 -3A + 7a + aA = 24 + 21 Combine like terms: 24 + 21 = 45 -3A + 7a + aA = 45 Add '-7a' to each side of the equation. -3A + 7a + -7a + aA = 45 + -7a Combine like terms: 7a + -7a = 0 -3A + 0 + aA = 45 + -7a -3A + aA = 45 + -7a Reorder the terms: -45 + -3A + 7a + aA = 45 + -7a + -45 + 7a Reorder the terms: -45 + -3A + 7a + aA = 45 + -45 + -7a + 7a Combine like terms: 45 + -45 = 0 -45 + -3A + 7a + aA = 0 + -7a + 7a -45 + -3A + 7a + aA = -7a + 7a Combine like terms: -7a + 7a = 0 -45 + -3A + 7a + aA = 0 The solution to this equation could not be determined.
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