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Simplifying 6(6a + -1b) + -6(2b + -4a) = 0 (6a * 6 + -1b * 6) + -6(2b + -4a) = 0 (36a + -6b) + -6(2b + -4a) = 0 Reorder the terms: 36a + -6b + -6(-4a + 2b) = 0 36a + -6b + (-4a * -6 + 2b * -6) = 0 36a + -6b + (24a + -12b) = 0 Reorder the terms: 36a + 24a + -6b + -12b = 0 Combine like terms: 36a + 24a = 60a 60a + -6b + -12b = 0 Combine like terms: -6b + -12b = -18b 60a + -18b = 0 Solving 60a + -18b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18b' to each side of the equation. 60a + -18b + 18b = 0 + 18b Combine like terms: -18b + 18b = 0 60a + 0 = 0 + 18b 60a = 0 + 18b Remove the zero: 60a = 18b Divide each side by '60'. a = 0.3b Simplifying a = 0.3b
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