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Simplifying 10a + b = 10b + a Reorder the terms: 10a + b = a + 10b Solving 10a + b = a + 10b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 10a + -1a + b = a + -1a + 10b Combine like terms: 10a + -1a = 9a 9a + b = a + -1a + 10b Combine like terms: a + -1a = 0 9a + b = 0 + 10b 9a + b = 10b Add '-1b' to each side of the equation. 9a + b + -1b = 10b + -1b Combine like terms: b + -1b = 0 9a + 0 = 10b + -1b 9a = 10b + -1b Combine like terms: 10b + -1b = 9b 9a = 9b Divide each side by '9'. a = b Simplifying a = b
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