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Simplifying a + -1(b + -1c) = (a + b) + -1b a + (b * -1 + -1c * -1) = (a + b) + -1b a + (-1b + 1c) = (a + b) + -1b Remove parenthesis around (a + b) a + -1b + 1c = a + b + -1b Combine like terms: b + -1b = 0 a + -1b + 1c = a + 0 a + -1b + 1c = a Add '-1a' to each side of the equation. a + -1b + -1a + 1c = a + -1a Reorder the terms: a + -1a + -1b + 1c = a + -1a Combine like terms: a + -1a = 0 0 + -1b + 1c = a + -1a -1b + 1c = a + -1a Combine like terms: a + -1a = 0 -1b + 1c = 0 Solving -1b + 1c = 0 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 = 0 + -1c Combine like terms: 1c + -1c = 0 -1b + 0 = 0 + -1c -1b = 0 + -1c Remove the zero: -1b = -1c Divide each side by '-1'. b = c Simplifying b = c
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