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Simplifying 8(6a + -1b) + -8(6b + -2a) = 0 (6a * 8 + -1b * 8) + -8(6b + -2a) = 0 (48a + -8b) + -8(6b + -2a) = 0 Reorder the terms: 48a + -8b + -8(-2a + 6b) = 0 48a + -8b + (-2a * -8 + 6b * -8) = 0 48a + -8b + (16a + -48b) = 0 Reorder the terms: 48a + 16a + -8b + -48b = 0 Combine like terms: 48a + 16a = 64a 64a + -8b + -48b = 0 Combine like terms: -8b + -48b = -56b 64a + -56b = 0 Solving 64a + -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. 64a + -56b + 56b = 0 + 56b Combine like terms: -56b + 56b = 0 64a + 0 = 0 + 56b 64a = 0 + 56b Remove the zero: 64a = 56b Divide each side by '64'. a = 0.875b Simplifying a = 0.875b
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