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Simplifying 2(3a + -1b) + -7(3b + -7a) = 0 (3a * 2 + -1b * 2) + -7(3b + -7a) = 0 (6a + -2b) + -7(3b + -7a) = 0 Reorder the terms: 6a + -2b + -7(-7a + 3b) = 0 6a + -2b + (-7a * -7 + 3b * -7) = 0 6a + -2b + (49a + -21b) = 0 Reorder the terms: 6a + 49a + -2b + -21b = 0 Combine like terms: 6a + 49a = 55a 55a + -2b + -21b = 0 Combine like terms: -2b + -21b = -23b 55a + -23b = 0 Solving 55a + -23b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '23b' to each side of the equation. 55a + -23b + 23b = 0 + 23b Combine like terms: -23b + 23b = 0 55a + 0 = 0 + 23b 55a = 0 + 23b Remove the zero: 55a = 23b Divide each side by '55'. a = 0.4181818182b Simplifying a = 0.4181818182b
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