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Simplifying 3(3a + 3b) + 5(6a + 2b) = 0 (3a * 3 + 3b * 3) + 5(6a + 2b) = 0 (9a + 9b) + 5(6a + 2b) = 0 9a + 9b + (6a * 5 + 2b * 5) = 0 9a + 9b + (30a + 10b) = 0 Reorder the terms: 9a + 30a + 9b + 10b = 0 Combine like terms: 9a + 30a = 39a 39a + 9b + 10b = 0 Combine like terms: 9b + 10b = 19b 39a + 19b = 0 Solving 39a + 19b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-19b' to each side of the equation. 39a + 19b + -19b = 0 + -19b Combine like terms: 19b + -19b = 0 39a + 0 = 0 + -19b 39a = 0 + -19b Remove the zero: 39a = -19b Divide each side by '39'. a = -0.4871794872b Simplifying a = -0.4871794872b
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