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Simplifying 6(4a + -1b) + -6(3b + -8a) = 0 (4a * 6 + -1b * 6) + -6(3b + -8a) = 0 (24a + -6b) + -6(3b + -8a) = 0 Reorder the terms: 24a + -6b + -6(-8a + 3b) = 0 24a + -6b + (-8a * -6 + 3b * -6) = 0 24a + -6b + (48a + -18b) = 0 Reorder the terms: 24a + 48a + -6b + -18b = 0 Combine like terms: 24a + 48a = 72a 72a + -6b + -18b = 0 Combine like terms: -6b + -18b = -24b 72a + -24b = 0 Solving 72a + -24b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24b' to each side of the equation. 72a + -24b + 24b = 0 + 24b Combine like terms: -24b + 24b = 0 72a + 0 = 0 + 24b 72a = 0 + 24b Remove the zero: 72a = 24b Divide each side by '72'. a = 0.3333333333b Simplifying a = 0.3333333333b
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