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Simplifying 3(5a + -1b) + -3(2b + -8a) = 0 (5a * 3 + -1b * 3) + -3(2b + -8a) = 0 (15a + -3b) + -3(2b + -8a) = 0 Reorder the terms: 15a + -3b + -3(-8a + 2b) = 0 15a + -3b + (-8a * -3 + 2b * -3) = 0 15a + -3b + (24a + -6b) = 0 Reorder the terms: 15a + 24a + -3b + -6b = 0 Combine like terms: 15a + 24a = 39a 39a + -3b + -6b = 0 Combine like terms: -3b + -6b = -9b 39a + -9b = 0 Solving 39a + -9b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9b' to each side of the equation. 39a + -9b + 9b = 0 + 9b Combine like terms: -9b + 9b = 0 39a + 0 = 0 + 9b 39a = 0 + 9b Remove the zero: 39a = 9b Divide each side by '39'. a = 0.2307692308b Simplifying a = 0.2307692308b
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