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Simplifying 5(5a + 2b) + 4(2a + b) = 0 (5a * 5 + 2b * 5) + 4(2a + b) = 0 (25a + 10b) + 4(2a + b) = 0 25a + 10b + (2a * 4 + b * 4) = 0 25a + 10b + (8a + 4b) = 0 Reorder the terms: 25a + 8a + 10b + 4b = 0 Combine like terms: 25a + 8a = 33a 33a + 10b + 4b = 0 Combine like terms: 10b + 4b = 14b 33a + 14b = 0 Solving 33a + 14b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14b' to each side of the equation. 33a + 14b + -14b = 0 + -14b Combine like terms: 14b + -14b = 0 33a + 0 = 0 + -14b 33a = 0 + -14b Remove the zero: 33a = -14b Divide each side by '33'. a = -0.4242424242b Simplifying a = -0.4242424242b
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