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Simplifying 8(3a + -1b) + -6(5b + -6a) = 0 (3a * 8 + -1b * 8) + -6(5b + -6a) = 0 (24a + -8b) + -6(5b + -6a) = 0 Reorder the terms: 24a + -8b + -6(-6a + 5b) = 0 24a + -8b + (-6a * -6 + 5b * -6) = 0 24a + -8b + (36a + -30b) = 0 Reorder the terms: 24a + 36a + -8b + -30b = 0 Combine like terms: 24a + 36a = 60a 60a + -8b + -30b = 0 Combine like terms: -8b + -30b = -38b 60a + -38b = 0 Solving 60a + -38b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '38b' to each side of the equation. 60a + -38b + 38b = 0 + 38b Combine like terms: -38b + 38b = 0 60a + 0 = 0 + 38b 60a = 0 + 38b Remove the zero: 60a = 38b Divide each side by '60'. a = 0.6333333333b Simplifying a = 0.6333333333b
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