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Simplifying 3(5a + 5b) + 4(5a + b) = 0 (5a * 3 + 5b * 3) + 4(5a + b) = 0 (15a + 15b) + 4(5a + b) = 0 15a + 15b + (5a * 4 + b * 4) = 0 15a + 15b + (20a + 4b) = 0 Reorder the terms: 15a + 20a + 15b + 4b = 0 Combine like terms: 15a + 20a = 35a 35a + 15b + 4b = 0 Combine like terms: 15b + 4b = 19b 35a + 19b = 0 Solving 35a + 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. 35a + 19b + -19b = 0 + -19b Combine like terms: 19b + -19b = 0 35a + 0 = 0 + -19b 35a = 0 + -19b Remove the zero: 35a = -19b Divide each side by '35'. a = -0.5428571429b Simplifying a = -0.5428571429b
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