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Simplifying 8(6a + -1b) + -6(8b + -6a) = 0 (6a * 8 + -1b * 8) + -6(8b + -6a) = 0 (48a + -8b) + -6(8b + -6a) = 0 Reorder the terms: 48a + -8b + -6(-6a + 8b) = 0 48a + -8b + (-6a * -6 + 8b * -6) = 0 48a + -8b + (36a + -48b) = 0 Reorder the terms: 48a + 36a + -8b + -48b = 0 Combine like terms: 48a + 36a = 84a 84a + -8b + -48b = 0 Combine like terms: -8b + -48b = -56b 84a + -56b = 0 Solving 84a + -56b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '56b' to each side of the equation. 84a + -56b + 56b = 0 + 56b Combine like terms: -56b + 56b = 0 84a + 0 = 0 + 56b 84a = 0 + 56b Remove the zero: 84a = 56b Divide each side by '84'. a = 0.6666666667b Simplifying a = 0.6666666667b
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