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Simplifying 4a + -4c + 5a + -1c + a = 0 Reorder the terms: 4a + 5a + a + -4c + -1c = 0 Combine like terms: 4a + 5a = 9a 9a + a + -4c + -1c = 0 Combine like terms: 9a + a = 10a 10a + -4c + -1c = 0 Combine like terms: -4c + -1c = -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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