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Simplifying 8(3a + -1b) + -6(6b + -5a) = 0 (3a * 8 + -1b * 8) + -6(6b + -5a) = 0 (24a + -8b) + -6(6b + -5a) = 0 Reorder the terms: 24a + -8b + -6(-5a + 6b) = 0 24a + -8b + (-5a * -6 + 6b * -6) = 0 24a + -8b + (30a + -36b) = 0 Reorder the terms: 24a + 30a + -8b + -36b = 0 Combine like terms: 24a + 30a = 54a 54a + -8b + -36b = 0 Combine like terms: -8b + -36b = -44b 54a + -44b = 0 Solving 54a + -44b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '44b' to each side of the equation. 54a + -44b + 44b = 0 + 44b Combine like terms: -44b + 44b = 0 54a + 0 = 0 + 44b 54a = 0 + 44b Remove the zero: 54a = 44b Divide each side by '54'. a = 0.8148148148b Simplifying a = 0.8148148148b
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