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Simplifying 6(6a + 6b) + -6(a + 5b) = 0 (6a * 6 + 6b * 6) + -6(a + 5b) = 0 (36a + 36b) + -6(a + 5b) = 0 36a + 36b + (a * -6 + 5b * -6) = 0 36a + 36b + (-6a + -30b) = 0 Reorder the terms: 36a + -6a + 36b + -30b = 0 Combine like terms: 36a + -6a = 30a 30a + 36b + -30b = 0 Combine like terms: 36b + -30b = 6b 30a + 6b = 0 Solving 30a + 6b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6b' to each side of the equation. 30a + 6b + -6b = 0 + -6b Combine like terms: 6b + -6b = 0 30a + 0 = 0 + -6b 30a = 0 + -6b Remove the zero: 30a = -6b Divide each side by '30'. a = -0.2b Simplifying a = -0.2b
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