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Simplifying 6a + 2c + 4a + 3c = 0 Reorder the terms: 6a + 4a + 2c + 3c = 0 Combine like terms: 6a + 4a = 10a 10a + 2c + 3c = 0 Combine like terms: 2c + 3c = 5c 10a + 5c = 0 Solving 10a + 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. 10a + 5c + -5c = 0 + -5c Combine like terms: 5c + -5c = 0 10a + 0 = 0 + -5c 10a = 0 + -5c Remove the zero: 10a = -5c Divide each side by '10'. a = -0.5c Simplifying a = -0.5c
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