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Simplifying 4a + 3c + -2c + c = 0 Combine like terms: 3c + -2c = 1c 4a + 1c + c = 0 Combine like terms: 1c + c = 2c 4a + 2c = 0 Solving 4a + 2c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2c' to each side of the equation. 4a + 2c + -2c = 0 + -2c Combine like terms: 2c + -2c = 0 4a + 0 = 0 + -2c 4a = 0 + -2c Remove the zero: 4a = -2c Divide each side by '4'. a = -0.5c Simplifying a = -0.5c
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