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Simplifying 6a + -1(-5a + -8b) + (3a + b) = 0 6a + (-5a * -1 + -8b * -1) + (3a + b) = 0 6a + (5a + 8b) + (3a + b) = 0 Remove parenthesis around (3a + b) 6a + 5a + 8b + 3a + b = 0 Reorder the terms: 6a + 5a + 3a + 8b + b = 0 Combine like terms: 6a + 5a = 11a 11a + 3a + 8b + b = 0 Combine like terms: 11a + 3a = 14a 14a + 8b + b = 0 Combine like terms: 8b + b = 9b 14a + 9b = 0 Solving 14a + 9b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9b' to each side of the equation. 14a + 9b + -9b = 0 + -9b Combine like terms: 9b + -9b = 0 14a + 0 = 0 + -9b 14a = 0 + -9b Remove the zero: 14a = -9b Divide each side by '14'. a = -0.6428571429b Simplifying a = -0.6428571429b
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