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Simplifying 2(6a + -1b) + -3(6b + -8a) = 0 (6a * 2 + -1b * 2) + -3(6b + -8a) = 0 (12a + -2b) + -3(6b + -8a) = 0 Reorder the terms: 12a + -2b + -3(-8a + 6b) = 0 12a + -2b + (-8a * -3 + 6b * -3) = 0 12a + -2b + (24a + -18b) = 0 Reorder the terms: 12a + 24a + -2b + -18b = 0 Combine like terms: 12a + 24a = 36a 36a + -2b + -18b = 0 Combine like terms: -2b + -18b = -20b 36a + -20b = 0 Solving 36a + -20b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20b' to each side of the equation. 36a + -20b + 20b = 0 + 20b Combine like terms: -20b + 20b = 0 36a + 0 = 0 + 20b 36a = 0 + 20b Remove the zero: 36a = 20b Divide each side by '36'. a = 0.5555555556b Simplifying a = 0.5555555556b
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