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Simplifying 6(5a + 2b) + 6(6a + 5b) = 0 (5a * 6 + 2b * 6) + 6(6a + 5b) = 0 (30a + 12b) + 6(6a + 5b) = 0 30a + 12b + (6a * 6 + 5b * 6) = 0 30a + 12b + (36a + 30b) = 0 Reorder the terms: 30a + 36a + 12b + 30b = 0 Combine like terms: 30a + 36a = 66a 66a + 12b + 30b = 0 Combine like terms: 12b + 30b = 42b 66a + 42b = 0 Solving 66a + 42b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42b' to each side of the equation. 66a + 42b + -42b = 0 + -42b Combine like terms: 42b + -42b = 0 66a + 0 = 0 + -42b 66a = 0 + -42b Remove the zero: 66a = -42b Divide each side by '66'. a = -0.6363636364b Simplifying a = -0.6363636364b
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