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