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Simplifying 8a + 5b = 2b + -5a Reorder the terms: 8a + 5b = -5a + 2b Solving 8a + 5b = -5a + 2b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 8a + 5a + 5b = -5a + 5a + 2b Combine like terms: 8a + 5a = 13a 13a + 5b = -5a + 5a + 2b Combine like terms: -5a + 5a = 0 13a + 5b = 0 + 2b 13a + 5b = 2b Add '-5b' to each side of the equation. 13a + 5b + -5b = 2b + -5b Combine like terms: 5b + -5b = 0 13a + 0 = 2b + -5b 13a = 2b + -5b Combine like terms: 2b + -5b = -3b 13a = -3b Divide each side by '13'. a = -0.2307692308b Simplifying a = -0.2307692308b
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