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Simplifying 8(2a + -1b) + -6(3b + -5a) = 0 (2a * 8 + -1b * 8) + -6(3b + -5a) = 0 (16a + -8b) + -6(3b + -5a) = 0 Reorder the terms: 16a + -8b + -6(-5a + 3b) = 0 16a + -8b + (-5a * -6 + 3b * -6) = 0 16a + -8b + (30a + -18b) = 0 Reorder the terms: 16a + 30a + -8b + -18b = 0 Combine like terms: 16a + 30a = 46a 46a + -8b + -18b = 0 Combine like terms: -8b + -18b = -26b 46a + -26b = 0 Solving 46a + -26b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '26b' to each side of the equation. 46a + -26b + 26b = 0 + 26b Combine like terms: -26b + 26b = 0 46a + 0 = 0 + 26b 46a = 0 + 26b Remove the zero: 46a = 26b Divide each side by '46'. a = 0.5652173913b Simplifying a = 0.5652173913b
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