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Simplifying 6(3a + 2b) + 6(6a + 3b) = 0 (3a * 6 + 2b * 6) + 6(6a + 3b) = 0 (18a + 12b) + 6(6a + 3b) = 0 18a + 12b + (6a * 6 + 3b * 6) = 0 18a + 12b + (36a + 18b) = 0 Reorder the terms: 18a + 36a + 12b + 18b = 0 Combine like terms: 18a + 36a = 54a 54a + 12b + 18b = 0 Combine like terms: 12b + 18b = 30b 54a + 30b = 0 Solving 54a + 30b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30b' to each side of the equation. 54a + 30b + -30b = 0 + -30b Combine like terms: 30b + -30b = 0 54a + 0 = 0 + -30b 54a = 0 + -30b Remove the zero: 54a = -30b Divide each side by '54'. a = -0.5555555556b Simplifying a = -0.5555555556b
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