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Simplifying 9(a + b) + 4(3a + 2b) = 0 (a * 9 + b * 9) + 4(3a + 2b) = 0 (9a + 9b) + 4(3a + 2b) = 0 9a + 9b + (3a * 4 + 2b * 4) = 0 9a + 9b + (12a + 8b) = 0 Reorder the terms: 9a + 12a + 9b + 8b = 0 Combine like terms: 9a + 12a = 21a 21a + 9b + 8b = 0 Combine like terms: 9b + 8b = 17b 21a + 17b = 0 Solving 21a + 17b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17b' to each side of the equation. 21a + 17b + -17b = 0 + -17b Combine like terms: 17b + -17b = 0 21a + 0 = 0 + -17b 21a = 0 + -17b Remove the zero: 21a = -17b Divide each side by '21'. a = -0.8095238095b Simplifying a = -0.8095238095b
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