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Simplifying 2(6a + -1b) + -3(8b + -7a) = 0 (6a * 2 + -1b * 2) + -3(8b + -7a) = 0 (12a + -2b) + -3(8b + -7a) = 0 Reorder the terms: 12a + -2b + -3(-7a + 8b) = 0 12a + -2b + (-7a * -3 + 8b * -3) = 0 12a + -2b + (21a + -24b) = 0 Reorder the terms: 12a + 21a + -2b + -24b = 0 Combine like terms: 12a + 21a = 33a 33a + -2b + -24b = 0 Combine like terms: -2b + -24b = -26b 33a + -26b = 0 Solving 33a + -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. 33a + -26b + 26b = 0 + 26b Combine like terms: -26b + 26b = 0 33a + 0 = 0 + 26b 33a = 0 + 26b Remove the zero: 33a = 26b Divide each side by '33'. a = 0.7878787879b Simplifying a = 0.7878787879b
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