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Simplifying 6(3a + -1b) + -6(8b + -4a) = 0 (3a * 6 + -1b * 6) + -6(8b + -4a) = 0 (18a + -6b) + -6(8b + -4a) = 0 Reorder the terms: 18a + -6b + -6(-4a + 8b) = 0 18a + -6b + (-4a * -6 + 8b * -6) = 0 18a + -6b + (24a + -48b) = 0 Reorder the terms: 18a + 24a + -6b + -48b = 0 Combine like terms: 18a + 24a = 42a 42a + -6b + -48b = 0 Combine like terms: -6b + -48b = -54b 42a + -54b = 0 Solving 42a + -54b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '54b' to each side of the equation. 42a + -54b + 54b = 0 + 54b Combine like terms: -54b + 54b = 0 42a + 0 = 0 + 54b 42a = 0 + 54b Remove the zero: 42a = 54b Divide each side by '42'. a = 1.285714286b Simplifying a = 1.285714286b
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