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Simplifying 2(2a + -1b) + -6(8b + -4a) = 0 (2a * 2 + -1b * 2) + -6(8b + -4a) = 0 (4a + -2b) + -6(8b + -4a) = 0 Reorder the terms: 4a + -2b + -6(-4a + 8b) = 0 4a + -2b + (-4a * -6 + 8b * -6) = 0 4a + -2b + (24a + -48b) = 0 Reorder the terms: 4a + 24a + -2b + -48b = 0 Combine like terms: 4a + 24a = 28a 28a + -2b + -48b = 0 Combine like terms: -2b + -48b = -50b 28a + -50b = 0 Solving 28a + -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. 28a + -50b + 50b = 0 + 50b Combine like terms: -50b + 50b = 0 28a + 0 = 0 + 50b 28a = 0 + 50b Remove the zero: 28a = 50b Divide each side by '28'. a = 1.785714286b Simplifying a = 1.785714286b
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