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Simplifying 5a + -11b + -5c + -8a + 11b + -5c + a + -4a + -1b + c = 0 Reorder the terms: 5a + -8a + a + -4a + -11b + 11b + -1b + -5c + -5c + c = 0 Combine like terms: 5a + -8a = -3a -3a + a + -4a + -11b + 11b + -1b + -5c + -5c + c = 0 Combine like terms: -3a + a = -2a -2a + -4a + -11b + 11b + -1b + -5c + -5c + c = 0 Combine like terms: -2a + -4a = -6a -6a + -11b + 11b + -1b + -5c + -5c + c = 0 Combine like terms: -11b + 11b = 0 -6a + 0 + -1b + -5c + -5c + c = 0 -6a + -1b + -5c + -5c + c = 0 Combine like terms: -5c + -5c = -10c -6a + -1b + -10c + c = 0 Combine like terms: -10c + c = -9c -6a + -1b + -9c = 0 Solving -6a + -1b + -9c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. -6a + -1b + b + -9c = 0 + b Combine like terms: -1b + b = 0 -6a + 0 + -9c = 0 + b -6a + -9c = 0 + b Remove the zero: -6a + -9c = b Add '9c' to each side of the equation. -6a + -9c + 9c = b + 9c Combine like terms: -9c + 9c = 0 -6a + 0 = b + 9c -6a = b + 9c Divide each side by '-6'. a = -0.1666666667b + -1.5c Simplifying a = -0.1666666667b + -1.5c
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