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Simplifying 2(5a + -1b) + -8(6b + -7a) = 0 (5a * 2 + -1b * 2) + -8(6b + -7a) = 0 (10a + -2b) + -8(6b + -7a) = 0 Reorder the terms: 10a + -2b + -8(-7a + 6b) = 0 10a + -2b + (-7a * -8 + 6b * -8) = 0 10a + -2b + (56a + -48b) = 0 Reorder the terms: 10a + 56a + -2b + -48b = 0 Combine like terms: 10a + 56a = 66a 66a + -2b + -48b = 0 Combine like terms: -2b + -48b = -50b 66a + -50b = 0 Solving 66a + -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. 66a + -50b + 50b = 0 + 50b Combine like terms: -50b + 50b = 0 66a + 0 = 0 + 50b 66a = 0 + 50b Remove the zero: 66a = 50b Divide each side by '66'. a = 0.7575757576b Simplifying a = 0.7575757576b
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