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Simplifying 3a + 2b = 4c + -1a Reorder the terms: 3a + 2b = -1a + 4c Solving 3a + 2b = -1a + 4c 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 + 2b = -1a + a + 4c Combine like terms: 3a + a = 4a 4a + 2b = -1a + a + 4c Combine like terms: -1a + a = 0 4a + 2b = 0 + 4c 4a + 2b = 4c Add '-2b' to each side of the equation. 4a + 2b + -2b = -2b + 4c Combine like terms: 2b + -2b = 0 4a + 0 = -2b + 4c 4a = -2b + 4c Divide each side by '4'. a = -0.5b + c Simplifying a = -0.5b + c
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