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Simplifying 0 = (a + c + (a + -1c + (a + b + b + -1c))) Combine like terms: b + b = 2b 0 = (a + c + (a + -1c + (a + 2b + -1c))) Remove parenthesis around (a + 2b + -1c) 0 = (a + c + (a + -1c + a + 2b + -1c)) Reorder the terms: 0 = (a + c + (a + a + 2b + -1c + -1c)) Combine like terms: a + a = 2a 0 = (a + c + (2a + 2b + -1c + -1c)) Combine like terms: -1c + -1c = -2c 0 = (a + c + (2a + 2b + -2c)) Remove parenthesis around (2a + 2b + -2c) 0 = (a + c + 2a + 2b + -2c) Reorder the terms: 0 = (a + 2a + 2b + c + -2c) Combine like terms: a + 2a = 3a 0 = (3a + 2b + c + -2c) Combine like terms: c + -2c = -1c 0 = (3a + 2b + -1c) Remove parenthesis around (3a + 2b + -1c) 0 = 3a + 2b + -1c Solving 0 = 3a + 2b + -1c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 0 + -3a = 3a + 2b + -3a + -1c Remove the zero: -3a = 3a + 2b + -3a + -1c Reorder the terms: -3a = 3a + -3a + 2b + -1c Combine like terms: 3a + -3a = 0 -3a = 0 + 2b + -1c -3a = 2b + -1c Divide each side by '-3'. a = -0.6666666667b + 0.3333333333c Simplifying a = -0.6666666667b + 0.3333333333c
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