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Simplifying 2(2a + -1b) + -8(3b + -7a) = 0 (2a * 2 + -1b * 2) + -8(3b + -7a) = 0 (4a + -2b) + -8(3b + -7a) = 0 Reorder the terms: 4a + -2b + -8(-7a + 3b) = 0 4a + -2b + (-7a * -8 + 3b * -8) = 0 4a + -2b + (56a + -24b) = 0 Reorder the terms: 4a + 56a + -2b + -24b = 0 Combine like terms: 4a + 56a = 60a 60a + -2b + -24b = 0 Combine like terms: -2b + -24b = -26b 60a + -26b = 0 Solving 60a + -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. 60a + -26b + 26b = 0 + 26b Combine like terms: -26b + 26b = 0 60a + 0 = 0 + 26b 60a = 0 + 26b Remove the zero: 60a = 26b Divide each side by '60'. a = 0.4333333333b Simplifying a = 0.4333333333b
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