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Simplifying (4a + 3b)(2a + -2b) = 2q * 3q + -2q * 2b + 3b * 3 Multiply (4a + 3b) * (2a + -2b) (4a * (2a + -2b) + 3b * (2a + -2b)) = 2q * 3q + -2q * 2b + 3b * 3 ((2a * 4a + -2b * 4a) + 3b * (2a + -2b)) = 2q * 3q + -2q * 2b + 3b * 3 Reorder the terms: ((-8ab + 8a2) + 3b * (2a + -2b)) = 2q * 3q + -2q * 2b + 3b * 3 ((-8ab + 8a2) + 3b * (2a + -2b)) = 2q * 3q + -2q * 2b + 3b * 3 (-8ab + 8a2 + (2a * 3b + -2b * 3b)) = 2q * 3q + -2q * 2b + 3b * 3 (-8ab + 8a2 + (6ab + -6b2)) = 2q * 3q + -2q * 2b + 3b * 3 Reorder the terms: (-8ab + 6ab + 8a2 + -6b2) = 2q * 3q + -2q * 2b + 3b * 3 Combine like terms: -8ab + 6ab = -2ab (-2ab + 8a2 + -6b2) = 2q * 3q + -2q * 2b + 3b * 3 Reorder the terms for easier multiplication: -2ab + 8a2 + -6b2 = 2 * 3q * q + -2q * 2b + 3b * 3 Multiply 2 * 3 -2ab + 8a2 + -6b2 = 6q * q + -2q * 2b + 3b * 3 Multiply q * q -2ab + 8a2 + -6b2 = 6q2 + -2q * 2b + 3b * 3 Reorder the terms for easier multiplication: -2ab + 8a2 + -6b2 = 6q2 + -2 * 2q * b + 3b * 3 Multiply -2 * 2 -2ab + 8a2 + -6b2 = 6q2 + -4q * b + 3b * 3 Multiply q * b -2ab + 8a2 + -6b2 = 6q2 + -4bq + 3b * 3 Reorder the terms for easier multiplication: -2ab + 8a2 + -6b2 = 6q2 + -4bq + 3 * 3b Multiply 3 * 3 -2ab + 8a2 + -6b2 = 6q2 + -4bq + 9b Reorder the terms: -2ab + 8a2 + -6b2 = 9b + -4bq + 6q2 Solving -2ab + 8a2 + -6b2 = 9b + -4bq + 6q2 Solving for variable 'a'. Reorder the terms: -2ab + 8a2 + -9b + 4bq + -6b2 + -6q2 = 9b + -4bq + 6q2 + -9b + 4bq + -6q2 Reorder the terms: -2ab + 8a2 + -9b + 4bq + -6b2 + -6q2 = 9b + -9b + -4bq + 4bq + 6q2 + -6q2 Combine like terms: 9b + -9b = 0 -2ab + 8a2 + -9b + 4bq + -6b2 + -6q2 = 0 + -4bq + 4bq + 6q2 + -6q2 -2ab + 8a2 + -9b + 4bq + -6b2 + -6q2 = -4bq + 4bq + 6q2 + -6q2 Combine like terms: -4bq + 4bq = 0 -2ab + 8a2 + -9b + 4bq + -6b2 + -6q2 = 0 + 6q2 + -6q2 -2ab + 8a2 + -9b + 4bq + -6b2 + -6q2 = 6q2 + -6q2 Combine like terms: 6q2 + -6q2 = 0 -2ab + 8a2 + -9b + 4bq + -6b2 + -6q2 = 0 The solution to this equation could not be determined.
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