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Simplifying 2(6a + -1b) + -6(6b + -7a) = 0 (6a * 2 + -1b * 2) + -6(6b + -7a) = 0 (12a + -2b) + -6(6b + -7a) = 0 Reorder the terms: 12a + -2b + -6(-7a + 6b) = 0 12a + -2b + (-7a * -6 + 6b * -6) = 0 12a + -2b + (42a + -36b) = 0 Reorder the terms: 12a + 42a + -2b + -36b = 0 Combine like terms: 12a + 42a = 54a 54a + -2b + -36b = 0 Combine like terms: -2b + -36b = -38b 54a + -38b = 0 Solving 54a + -38b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '38b' to each side of the equation. 54a + -38b + 38b = 0 + 38b Combine like terms: -38b + 38b = 0 54a + 0 = 0 + 38b 54a = 0 + 38b Remove the zero: 54a = 38b Divide each side by '54'. a = 0.7037037037b Simplifying a = 0.7037037037b
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