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Simplifying 3(2a + -1b) + -8(7b + -5a) = 0 (2a * 3 + -1b * 3) + -8(7b + -5a) = 0 (6a + -3b) + -8(7b + -5a) = 0 Reorder the terms: 6a + -3b + -8(-5a + 7b) = 0 6a + -3b + (-5a * -8 + 7b * -8) = 0 6a + -3b + (40a + -56b) = 0 Reorder the terms: 6a + 40a + -3b + -56b = 0 Combine like terms: 6a + 40a = 46a 46a + -3b + -56b = 0 Combine like terms: -3b + -56b = -59b 46a + -59b = 0 Solving 46a + -59b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '59b' to each side of the equation. 46a + -59b + 59b = 0 + 59b Combine like terms: -59b + 59b = 0 46a + 0 = 0 + 59b 46a = 0 + 59b Remove the zero: 46a = 59b Divide each side by '46'. a = 1.282608696b Simplifying a = 1.282608696b
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