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Simplifying (13a + 9b) + -1(2a + -4b) = 0 Remove parenthesis around (13a + 9b) 13a + 9b + -1(2a + -4b) = 0 13a + 9b + (2a * -1 + -4b * -1) = 0 13a + 9b + (-2a + 4b) = 0 Reorder the terms: 13a + -2a + 9b + 4b = 0 Combine like terms: 13a + -2a = 11a 11a + 9b + 4b = 0 Combine like terms: 9b + 4b = 13b 11a + 13b = 0 Solving 11a + 13b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13b' to each side of the equation. 11a + 13b + -13b = 0 + -13b Combine like terms: 13b + -13b = 0 11a + 0 = 0 + -13b 11a = 0 + -13b Remove the zero: 11a = -13b Divide each side by '11'. a = -1.181818182b Simplifying a = -1.181818182b
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