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Simplifying (5a + -1b) + (8a + 4b) = 0 Remove parenthesis around (5a + -1b) 5a + -1b + (8a + 4b) = 0 Remove parenthesis around (8a + 4b) 5a + -1b + 8a + 4b = 0 Reorder the terms: 5a + 8a + -1b + 4b = 0 Combine like terms: 5a + 8a = 13a 13a + -1b + 4b = 0 Combine like terms: -1b + 4b = 3b 13a + 3b = 0 Solving 13a + 3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 13a + 3b + -3b = 0 + -3b Combine like terms: 3b + -3b = 0 13a + 0 = 0 + -3b 13a = 0 + -3b Remove the zero: 13a = -3b Divide each side by '13'. a = -0.2307692308b Simplifying a = -0.2307692308b
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