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Simplifying 2(6a + -1b) + -6(5b + -2a) = 0 (6a * 2 + -1b * 2) + -6(5b + -2a) = 0 (12a + -2b) + -6(5b + -2a) = 0 Reorder the terms: 12a + -2b + -6(-2a + 5b) = 0 12a + -2b + (-2a * -6 + 5b * -6) = 0 12a + -2b + (12a + -30b) = 0 Reorder the terms: 12a + 12a + -2b + -30b = 0 Combine like terms: 12a + 12a = 24a 24a + -2b + -30b = 0 Combine like terms: -2b + -30b = -32b 24a + -32b = 0 Solving 24a + -32b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '32b' to each side of the equation. 24a + -32b + 32b = 0 + 32b Combine like terms: -32b + 32b = 0 24a + 0 = 0 + 32b 24a = 0 + 32b Remove the zero: 24a = 32b Divide each side by '24'. a = 1.333333333b Simplifying a = 1.333333333b
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