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Simplifying a + b + c + 2a + 2b + 2c + -3a + -3b + -3c = 0 Reorder the terms: a + 2a + -3a + b + 2b + -3b + c + 2c + -3c = 0 Combine like terms: a + 2a = 3a 3a + -3a + b + 2b + -3b + c + 2c + -3c = 0 Combine like terms: 3a + -3a = 0 0 + b + 2b + -3b + c + 2c + -3c = 0 b + 2b + -3b + c + 2c + -3c = 0 Combine like terms: b + 2b = 3b 3b + -3b + c + 2c + -3c = 0 Combine like terms: 3b + -3b = 0 0 + c + 2c + -3c = 0 c + 2c + -3c = 0 Combine like terms: c + 2c = 3c 3c + -3c = 0 Combine like terms: 3c + -3c = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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