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Simplifying (a + 3b) * 2 + -3b(2a + 3b) = 0 Reorder the terms for easier multiplication: 2(a + 3b) + -3b(2a + 3b) = 0 (a * 2 + 3b * 2) + -3b(2a + 3b) = 0 (2a + 6b) + -3b(2a + 3b) = 0 2a + 6b + (2a * -3b + 3b * -3b) = 0 2a + 6b + (-6ab + -9b2) = 0 Reorder the terms: 2a + -6ab + 6b + -9b2 = 0 Solving 2a + -6ab + 6b + -9b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6b' to each side of the equation. 2a + -6ab + 6b + -6b + -9b2 = 0 + -6b Combine like terms: 6b + -6b = 0 2a + -6ab + 0 + -9b2 = 0 + -6b 2a + -6ab + -9b2 = 0 + -6b Remove the zero: 2a + -6ab + -9b2 = -6b Add '9b2' to each side of the equation. 2a + -6ab + -9b2 + 9b2 = -6b + 9b2 Combine like terms: -9b2 + 9b2 = 0 2a + -6ab + 0 = -6b + 9b2 2a + -6ab = -6b + 9b2 Reorder the terms: 2a + -6ab + 6b + -9b2 = -6b + 6b + 9b2 + -9b2 Combine like terms: -6b + 6b = 0 2a + -6ab + 6b + -9b2 = 0 + 9b2 + -9b2 2a + -6ab + 6b + -9b2 = 9b2 + -9b2 Combine like terms: 9b2 + -9b2 = 0 2a + -6ab + 6b + -9b2 = 0 The solution to this equation could not be determined.
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