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Simplifying 1 + -4a + -5c + 9c + -1a = 0 Reorder the terms: 1 + -4a + -1a + -5c + 9c = 0 Combine like terms: -4a + -1a = -5a 1 + -5a + -5c + 9c = 0 Combine like terms: -5c + 9c = 4c 1 + -5a + 4c = 0 Solving 1 + -5a + 4c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -5a + -1 + 4c = 0 + -1 Reorder the terms: 1 + -1 + -5a + 4c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5a + 4c = 0 + -1 -5a + 4c = 0 + -1 Combine like terms: 0 + -1 = -1 -5a + 4c = -1 Add '-4c' to each side of the equation. -5a + 4c + -4c = -1 + -4c Combine like terms: 4c + -4c = 0 -5a + 0 = -1 + -4c -5a = -1 + -4c Divide each side by '-5'. a = 0.2 + 0.8c Simplifying a = 0.2 + 0.8c
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