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Simplifying a + b + c + 2a + -2b + c = 0 Reorder the terms: a + 2a + b + -2b + c + c = 0 Combine like terms: a + 2a = 3a 3a + b + -2b + c + c = 0 Combine like terms: b + -2b = -1b 3a + -1b + c + c = 0 Combine like terms: c + c = 2c 3a + -1b + 2c = 0 Solving 3a + -1b + 2c = 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. 3a + -1b + b + 2c = 0 + b Combine like terms: -1b + b = 0 3a + 0 + 2c = 0 + b 3a + 2c = 0 + b Remove the zero: 3a + 2c = b Add '-2c' to each side of the equation. 3a + 2c + -2c = b + -2c Combine like terms: 2c + -2c = 0 3a + 0 = b + -2c 3a = b + -2c Divide each side by '3'. a = 0.3333333333b + -0.6666666667c Simplifying a = 0.3333333333b + -0.6666666667c
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