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Simplifying 9a + -1 + 8c + -8a = c Reorder the terms: -1 + 9a + -8a + 8c = c Combine like terms: 9a + -8a = 1a -1 + 1a + 8c = c Solving -1 + 1a + 8c = c 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 + 1a + 1 + 8c = 1 + c Reorder the terms: -1 + 1 + 1a + 8c = 1 + c Combine like terms: -1 + 1 = 0 0 + 1a + 8c = 1 + c 1a + 8c = 1 + c Add '-8c' to each side of the equation. 1a + 8c + -8c = 1 + c + -8c Combine like terms: 8c + -8c = 0 1a + 0 = 1 + c + -8c 1a = 1 + c + -8c Combine like terms: c + -8c = -7c 1a = 1 + -7c Divide each side by '1'. a = 1 + -7c Simplifying a = 1 + -7c
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