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Simplifying (12a + 7b) + (2a + -9b) = 0 Remove parenthesis around (12a + 7b) 12a + 7b + (2a + -9b) = 0 Remove parenthesis around (2a + -9b) 12a + 7b + 2a + -9b = 0 Reorder the terms: 12a + 2a + 7b + -9b = 0 Combine like terms: 12a + 2a = 14a 14a + 7b + -9b = 0 Combine like terms: 7b + -9b = -2b 14a + -2b = 0 Solving 14a + -2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2b' to each side of the equation. 14a + -2b + 2b = 0 + 2b Combine like terms: -2b + 2b = 0 14a + 0 = 0 + 2b 14a = 0 + 2b Remove the zero: 14a = 2b Divide each side by '14'. a = 0.1428571429b Simplifying a = 0.1428571429b
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