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Simplifying 2b + 3(2b + 8a) + 3(8b + 2a) = 0 Reorder the terms: 2b + 3(8a + 2b) + 3(8b + 2a) = 0 2b + (8a * 3 + 2b * 3) + 3(8b + 2a) = 0 2b + (24a + 6b) + 3(8b + 2a) = 0 Reorder the terms: 2b + 24a + 6b + 3(2a + 8b) = 0 2b + 24a + 6b + (2a * 3 + 8b * 3) = 0 2b + 24a + 6b + (6a + 24b) = 0 Reorder the terms: 24a + 6a + 2b + 6b + 24b = 0 Combine like terms: 24a + 6a = 30a 30a + 2b + 6b + 24b = 0 Combine like terms: 2b + 6b = 8b 30a + 8b + 24b = 0 Combine like terms: 8b + 24b = 32b 30a + 32b = 0 Solving 30a + 32b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32b' to each side of the equation. 30a + 32b + -32b = 0 + -32b Combine like terms: 32b + -32b = 0 30a + 0 = 0 + -32b 30a = 0 + -32b Remove the zero: 30a = -32b Divide each side by '30'. a = -1.066666667b Simplifying a = -1.066666667b
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