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Simplifying -1(6a + -2b) + -9(-5a + 3b) = 0 (6a * -1 + -2b * -1) + -9(-5a + 3b) = 0 (-6a + 2b) + -9(-5a + 3b) = 0 -6a + 2b + (-5a * -9 + 3b * -9) = 0 -6a + 2b + (45a + -27b) = 0 Reorder the terms: -6a + 45a + 2b + -27b = 0 Combine like terms: -6a + 45a = 39a 39a + 2b + -27b = 0 Combine like terms: 2b + -27b = -25b 39a + -25b = 0 Solving 39a + -25b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '25b' to each side of the equation. 39a + -25b + 25b = 0 + 25b Combine like terms: -25b + 25b = 0 39a + 0 = 0 + 25b 39a = 0 + 25b Remove the zero: 39a = 25b Divide each side by '39'. a = 0.641025641b Simplifying a = 0.641025641b
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