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Simplifying 3(6a + -1b) + -7(2b + -8a) = 0 (6a * 3 + -1b * 3) + -7(2b + -8a) = 0 (18a + -3b) + -7(2b + -8a) = 0 Reorder the terms: 18a + -3b + -7(-8a + 2b) = 0 18a + -3b + (-8a * -7 + 2b * -7) = 0 18a + -3b + (56a + -14b) = 0 Reorder the terms: 18a + 56a + -3b + -14b = 0 Combine like terms: 18a + 56a = 74a 74a + -3b + -14b = 0 Combine like terms: -3b + -14b = -17b 74a + -17b = 0 Solving 74a + -17b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '17b' to each side of the equation. 74a + -17b + 17b = 0 + 17b Combine like terms: -17b + 17b = 0 74a + 0 = 0 + 17b 74a = 0 + 17b Remove the zero: 74a = 17b Divide each side by '74'. a = 0.2297297297b Simplifying a = 0.2297297297b
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