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Simplifying 2(2a + 3b) + 3(3a + -2b) = 0 (2a * 2 + 3b * 2) + 3(3a + -2b) = 0 (4a + 6b) + 3(3a + -2b) = 0 4a + 6b + (3a * 3 + -2b * 3) = 0 4a + 6b + (9a + -6b) = 0 Reorder the terms: 4a + 9a + 6b + -6b = 0 Combine like terms: 4a + 9a = 13a 13a + 6b + -6b = 0 Combine like terms: 6b + -6b = 0 13a + 0 = 0 13a = 0 Solving 13a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by '13'. a = 0 Simplifying a = 0
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