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Simplifying b + -4c + 3a + -1c + -9b + -4a = 0 Reorder the terms: 3a + -4a + b + -9b + -4c + -1c = 0 Combine like terms: 3a + -4a = -1a -1a + b + -9b + -4c + -1c = 0 Combine like terms: b + -9b = -8b -1a + -8b + -4c + -1c = 0 Combine like terms: -4c + -1c = -5c -1a + -8b + -5c = 0 Solving -1a + -8b + -5c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8b' to each side of the equation. -1a + -8b + 8b + -5c = 0 + 8b Combine like terms: -8b + 8b = 0 -1a + 0 + -5c = 0 + 8b -1a + -5c = 0 + 8b Remove the zero: -1a + -5c = 8b Add '5c' to each side of the equation. -1a + -5c + 5c = 8b + 5c Combine like terms: -5c + 5c = 0 -1a + 0 = 8b + 5c -1a = 8b + 5c Divide each side by '-1'. a = -8b + -5c Simplifying a = -8b + -5c
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