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Simplifying 2(8a + -1b) + -5(2b + -4a) = 0 (8a * 2 + -1b * 2) + -5(2b + -4a) = 0 (16a + -2b) + -5(2b + -4a) = 0 Reorder the terms: 16a + -2b + -5(-4a + 2b) = 0 16a + -2b + (-4a * -5 + 2b * -5) = 0 16a + -2b + (20a + -10b) = 0 Reorder the terms: 16a + 20a + -2b + -10b = 0 Combine like terms: 16a + 20a = 36a 36a + -2b + -10b = 0 Combine like terms: -2b + -10b = -12b 36a + -12b = 0 Solving 36a + -12b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12b' to each side of the equation. 36a + -12b + 12b = 0 + 12b Combine like terms: -12b + 12b = 0 36a + 0 = 0 + 12b 36a = 0 + 12b Remove the zero: 36a = 12b Divide each side by '36'. a = 0.3333333333b Simplifying a = 0.3333333333b
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