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Simplifying 6a + -1(a + -5b) + 9a = 0 6a + (a * -1 + -5b * -1) + 9a = 0 6a + (-1a + 5b) + 9a = 0 Reorder the terms: 6a + -1a + 9a + 5b = 0 Combine like terms: 6a + -1a = 5a 5a + 9a + 5b = 0 Combine like terms: 5a + 9a = 14a 14a + 5b = 0 Solving 14a + 5b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. 14a + 5b + -5b = 0 + -5b Combine like terms: 5b + -5b = 0 14a + 0 = 0 + -5b 14a = 0 + -5b Remove the zero: 14a = -5b Divide each side by '14'. a = -0.3571428571b Simplifying a = -0.3571428571b
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