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Simplifying 5a + 9b + 3(3a + -2b) + -4a = 0 5a + 9b + (3a * 3 + -2b * 3) + -4a = 0 5a + 9b + (9a + -6b) + -4a = 0 Reorder the terms: 5a + 9a + -4a + 9b + -6b = 0 Combine like terms: 5a + 9a = 14a 14a + -4a + 9b + -6b = 0 Combine like terms: 14a + -4a = 10a 10a + 9b + -6b = 0 Combine like terms: 9b + -6b = 3b 10a + 3b = 0 Solving 10a + 3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 10a + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 10a + 0 = 0 + -3b 10a = 0 + -3b Remove the zero: 10a = -3b Divide each side by '10'. a = -0.3b Simplifying a = -0.3b
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