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Simplifying 3(2a + b) + 2(a + 3b) = 0 (2a * 3 + b * 3) + 2(a + 3b) = 0 (6a + 3b) + 2(a + 3b) = 0 6a + 3b + (a * 2 + 3b * 2) = 0 6a + 3b + (2a + 6b) = 0 Reorder the terms: 6a + 2a + 3b + 6b = 0 Combine like terms: 6a + 2a = 8a 8a + 3b + 6b = 0 Combine like terms: 3b + 6b = 9b 8a + 9b = 0 Solving 8a + 9b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9b' to each side of the equation. 8a + 9b + -9b = 0 + -9b Combine like terms: 9b + -9b = 0 8a + 0 = 0 + -9b 8a = 0 + -9b Remove the zero: 8a = -9b Divide each side by '8'. a = -1.125b Simplifying a = -1.125b
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