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Simplifying 6(6a + -1b) + -3(5b + -8a) = 0 (6a * 6 + -1b * 6) + -3(5b + -8a) = 0 (36a + -6b) + -3(5b + -8a) = 0 Reorder the terms: 36a + -6b + -3(-8a + 5b) = 0 36a + -6b + (-8a * -3 + 5b * -3) = 0 36a + -6b + (24a + -15b) = 0 Reorder the terms: 36a + 24a + -6b + -15b = 0 Combine like terms: 36a + 24a = 60a 60a + -6b + -15b = 0 Combine like terms: -6b + -15b = -21b 60a + -21b = 0 Solving 60a + -21b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21b' to each side of the equation. 60a + -21b + 21b = 0 + 21b Combine like terms: -21b + 21b = 0 60a + 0 = 0 + 21b 60a = 0 + 21b Remove the zero: 60a = 21b Divide each side by '60'. a = 0.35b Simplifying a = 0.35b
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