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Simplifying 2(6a + 5b) + 6(3a + 8b) = 0 (6a * 2 + 5b * 2) + 6(3a + 8b) = 0 (12a + 10b) + 6(3a + 8b) = 0 12a + 10b + (3a * 6 + 8b * 6) = 0 12a + 10b + (18a + 48b) = 0 Reorder the terms: 12a + 18a + 10b + 48b = 0 Combine like terms: 12a + 18a = 30a 30a + 10b + 48b = 0 Combine like terms: 10b + 48b = 58b 30a + 58b = 0 Solving 30a + 58b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-58b' to each side of the equation. 30a + 58b + -58b = 0 + -58b Combine like terms: 58b + -58b = 0 30a + 0 = 0 + -58b 30a = 0 + -58b Remove the zero: 30a = -58b Divide each side by '30'. a = -1.933333333b Simplifying a = -1.933333333b
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