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Simplifying 3a + 4c + -2a + 3c + a = 0 Reorder the terms: 3a + -2a + a + 4c + 3c = 0 Combine like terms: 3a + -2a = 1a 1a + a + 4c + 3c = 0 Combine like terms: 1a + a = 2a 2a + 4c + 3c = 0 Combine like terms: 4c + 3c = 7c 2a + 7c = 0 Solving 2a + 7c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7c' to each side of the equation. 2a + 7c + -7c = 0 + -7c Combine like terms: 7c + -7c = 0 2a + 0 = 0 + -7c 2a = 0 + -7c Remove the zero: 2a = -7c Divide each side by '2'. a = -3.5c Simplifying a = -3.5c
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