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Simplifying 4a + 3b = 6b + -9a Reorder the terms: 4a + 3b = -9a + 6b Solving 4a + 3b = -9a + 6b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9a' to each side of the equation. 4a + 9a + 3b = -9a + 9a + 6b Combine like terms: 4a + 9a = 13a 13a + 3b = -9a + 9a + 6b Combine like terms: -9a + 9a = 0 13a + 3b = 0 + 6b 13a + 3b = 6b Add '-3b' to each side of the equation. 13a + 3b + -3b = 6b + -3b Combine like terms: 3b + -3b = 0 13a + 0 = 6b + -3b 13a = 6b + -3b Combine like terms: 6b + -3b = 3b 13a = 3b Divide each side by '13'. a = 0.2307692308b Simplifying a = 0.2307692308b
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