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Simplifying 2(3a + -1b) + -6(6b + -6a) = 0 (3a * 2 + -1b * 2) + -6(6b + -6a) = 0 (6a + -2b) + -6(6b + -6a) = 0 Reorder the terms: 6a + -2b + -6(-6a + 6b) = 0 6a + -2b + (-6a * -6 + 6b * -6) = 0 6a + -2b + (36a + -36b) = 0 Reorder the terms: 6a + 36a + -2b + -36b = 0 Combine like terms: 6a + 36a = 42a 42a + -2b + -36b = 0 Combine like terms: -2b + -36b = -38b 42a + -38b = 0 Solving 42a + -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. 42a + -38b + 38b = 0 + 38b Combine like terms: -38b + 38b = 0 42a + 0 = 0 + 38b 42a = 0 + 38b Remove the zero: 42a = 38b Divide each side by '42'. a = 0.9047619048b Simplifying a = 0.9047619048b
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