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Simplifying 2(5a + 3b) + 5a + 2b = 0 (5a * 2 + 3b * 2) + 5a + 2b = 0 (10a + 6b) + 5a + 2b = 0 Reorder the terms: 10a + 5a + 6b + 2b = 0 Combine like terms: 10a + 5a = 15a 15a + 6b + 2b = 0 Combine like terms: 6b + 2b = 8b 15a + 8b = 0 Solving 15a + 8b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8b' to each side of the equation. 15a + 8b + -8b = 0 + -8b Combine like terms: 8b + -8b = 0 15a + 0 = 0 + -8b 15a = 0 + -8b Remove the zero: 15a = -8b Divide each side by '15'. a = -0.5333333333b Simplifying a = -0.5333333333b
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