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Simplifying 2(3a + -1b) + -8(6b + -4a) = 0 (3a * 2 + -1b * 2) + -8(6b + -4a) = 0 (6a + -2b) + -8(6b + -4a) = 0 Reorder the terms: 6a + -2b + -8(-4a + 6b) = 0 6a + -2b + (-4a * -8 + 6b * -8) = 0 6a + -2b + (32a + -48b) = 0 Reorder the terms: 6a + 32a + -2b + -48b = 0 Combine like terms: 6a + 32a = 38a 38a + -2b + -48b = 0 Combine like terms: -2b + -48b = -50b 38a + -50b = 0 Solving 38a + -50b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '50b' to each side of the equation. 38a + -50b + 50b = 0 + 50b Combine like terms: -50b + 50b = 0 38a + 0 = 0 + 50b 38a = 0 + 50b Remove the zero: 38a = 50b Divide each side by '38'. a = 1.315789474b Simplifying a = 1.315789474b
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