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Simplifying 3a + 5c + -1a + 3c = 0 Reorder the terms: 3a + -1a + 5c + 3c = 0 Combine like terms: 3a + -1a = 2a 2a + 5c + 3c = 0 Combine like terms: 5c + 3c = 8c 2a + 8c = 0 Solving 2a + 8c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8c' to each side of the equation. 2a + 8c + -8c = 0 + -8c Combine like terms: 8c + -8c = 0 2a + 0 = 0 + -8c 2a = 0 + -8c Remove the zero: 2a = -8c Divide each side by '2'. a = -4c Simplifying a = -4c
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