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Simplifying 3(6a + -1b) + -6(5b + -4a) = 0 (6a * 3 + -1b * 3) + -6(5b + -4a) = 0 (18a + -3b) + -6(5b + -4a) = 0 Reorder the terms: 18a + -3b + -6(-4a + 5b) = 0 18a + -3b + (-4a * -6 + 5b * -6) = 0 18a + -3b + (24a + -30b) = 0 Reorder the terms: 18a + 24a + -3b + -30b = 0 Combine like terms: 18a + 24a = 42a 42a + -3b + -30b = 0 Combine like terms: -3b + -30b = -33b 42a + -33b = 0 Solving 42a + -33b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '33b' to each side of the equation. 42a + -33b + 33b = 0 + 33b Combine like terms: -33b + 33b = 0 42a + 0 = 0 + 33b 42a = 0 + 33b Remove the zero: 42a = 33b Divide each side by '42'. a = 0.7857142857b Simplifying a = 0.7857142857b
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