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Simplifying 2(3a + -1b) + -3(6b + -7a) = 0 (3a * 2 + -1b * 2) + -3(6b + -7a) = 0 (6a + -2b) + -3(6b + -7a) = 0 Reorder the terms: 6a + -2b + -3(-7a + 6b) = 0 6a + -2b + (-7a * -3 + 6b * -3) = 0 6a + -2b + (21a + -18b) = 0 Reorder the terms: 6a + 21a + -2b + -18b = 0 Combine like terms: 6a + 21a = 27a 27a + -2b + -18b = 0 Combine like terms: -2b + -18b = -20b 27a + -20b = 0 Solving 27a + -20b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20b' to each side of the equation. 27a + -20b + 20b = 0 + 20b Combine like terms: -20b + 20b = 0 27a + 0 = 0 + 20b 27a = 0 + 20b Remove the zero: 27a = 20b Divide each side by '27'. a = 0.7407407407b Simplifying a = 0.7407407407b
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