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Simplifying 3a + 4c + -1a + -5c = 0 Reorder the terms: 3a + -1a + 4c + -5c = 0 Combine like terms: 3a + -1a = 2a 2a + 4c + -5c = 0 Combine like terms: 4c + -5c = -1c 2a + -1c = 0 Solving 2a + -1c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'c' to each side of the equation. 2a + -1c + c = 0 + c Combine like terms: -1c + c = 0 2a + 0 = 0 + c 2a = 0 + c Remove the zero: 2a = c Divide each side by '2'. a = 0.5c Simplifying a = 0.5c
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