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