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Simplifying 6(3a + -1b) + -3(8b + -6a) = 0 (3a * 6 + -1b * 6) + -3(8b + -6a) = 0 (18a + -6b) + -3(8b + -6a) = 0 Reorder the terms: 18a + -6b + -3(-6a + 8b) = 0 18a + -6b + (-6a * -3 + 8b * -3) = 0 18a + -6b + (18a + -24b) = 0 Reorder the terms: 18a + 18a + -6b + -24b = 0 Combine like terms: 18a + 18a = 36a 36a + -6b + -24b = 0 Combine like terms: -6b + -24b = -30b 36a + -30b = 0 Solving 36a + -30b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '30b' to each side of the equation. 36a + -30b + 30b = 0 + 30b Combine like terms: -30b + 30b = 0 36a + 0 = 0 + 30b 36a = 0 + 30b Remove the zero: 36a = 30b Divide each side by '36'. a = 0.8333333333b Simplifying a = 0.8333333333b
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