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Simplifying 8a + 8c + -9a + -9c + -4 = 0 Reorder the terms: -4 + 8a + -9a + 8c + -9c = 0 Combine like terms: 8a + -9a = -1a -4 + -1a + 8c + -9c = 0 Combine like terms: 8c + -9c = -1c -4 + -1a + -1c = 0 Solving -4 + -1a + -1c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -1a + 4 + -1c = 0 + 4 Reorder the terms: -4 + 4 + -1a + -1c = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1a + -1c = 0 + 4 -1a + -1c = 0 + 4 Combine like terms: 0 + 4 = 4 -1a + -1c = 4 Add 'c' to each side of the equation. -1a + -1c + c = 4 + c Combine like terms: -1c + c = 0 -1a + 0 = 4 + c -1a = 4 + c Divide each side by '-1'. a = -4 + -1c Simplifying a = -4 + -1c
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