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Simplifying 6a + 4c + -2a + c = 0 Reorder the terms: 6a + -2a + 4c + c = 0 Combine like terms: 6a + -2a = 4a 4a + 4c + c = 0 Combine like terms: 4c + c = 5c 4a + 5c = 0 Solving 4a + 5c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5c' to each side of the equation. 4a + 5c + -5c = 0 + -5c Combine like terms: 5c + -5c = 0 4a + 0 = 0 + -5c 4a = 0 + -5c Remove the zero: 4a = -5c Divide each side by '4'. a = -1.25c Simplifying a = -1.25c
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