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Simplifying 3(3a + b) + 6(4a + 4b) = 0 (3a * 3 + b * 3) + 6(4a + 4b) = 0 (9a + 3b) + 6(4a + 4b) = 0 9a + 3b + (4a * 6 + 4b * 6) = 0 9a + 3b + (24a + 24b) = 0 Reorder the terms: 9a + 24a + 3b + 24b = 0 Combine like terms: 9a + 24a = 33a 33a + 3b + 24b = 0 Combine like terms: 3b + 24b = 27b 33a + 27b = 0 Solving 33a + 27b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-27b' to each side of the equation. 33a + 27b + -27b = 0 + -27b Combine like terms: 27b + -27b = 0 33a + 0 = 0 + -27b 33a = 0 + -27b Remove the zero: 33a = -27b Divide each side by '33'. a = -0.8181818182b Simplifying a = -0.8181818182b
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