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Simplifying 4a + c = 2a + 2f Solving 4a + c = 2a + 2f Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 4a + -2a + c = 2a + -2a + 2f Combine like terms: 4a + -2a = 2a 2a + c = 2a + -2a + 2f Combine like terms: 2a + -2a = 0 2a + c = 0 + 2f 2a + c = 2f Add '-1c' to each side of the equation. 2a + c + -1c = -1c + 2f Combine like terms: c + -1c = 0 2a + 0 = -1c + 2f 2a = -1c + 2f Divide each side by '2'. a = -0.5c + f Simplifying a = -0.5c + f
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