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