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Simplifying 9(4a + -2b) + 13a + 19b = 0 (4a * 9 + -2b * 9) + 13a + 19b = 0 (36a + -18b) + 13a + 19b = 0 Reorder the terms: 36a + 13a + -18b + 19b = 0 Combine like terms: 36a + 13a = 49a 49a + -18b + 19b = 0 Combine like terms: -18b + 19b = 1b 49a + 1b = 0 Solving 49a + 1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 49a + 1b + -1b = 0 + -1b Combine like terms: 1b + -1b = 0 49a + 0 = 0 + -1b 49a = 0 + -1b Remove the zero: 49a = -1b Divide each side by '49'. a = -0.02040816327b Simplifying a = -0.02040816327b
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