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