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Simplifying 3a + 9b = 8b + -1a Reorder the terms: 3a + 9b = -1a + 8b Solving 3a + 9b = -1a + 8b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 3a + a + 9b = -1a + a + 8b Combine like terms: 3a + a = 4a 4a + 9b = -1a + a + 8b Combine like terms: -1a + a = 0 4a + 9b = 0 + 8b 4a + 9b = 8b Add '-9b' to each side of the equation. 4a + 9b + -9b = 8b + -9b Combine like terms: 9b + -9b = 0 4a + 0 = 8b + -9b 4a = 8b + -9b Combine like terms: 8b + -9b = -1b 4a = -1b Divide each side by '4'. a = -0.25b Simplifying a = -0.25b
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