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