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Simplifying (3a + 2b) + -1(a + -1b) = 5b Remove parenthesis around (3a + 2b) 3a + 2b + -1(a + -1b) = 5b 3a + 2b + (a * -1 + -1b * -1) = 5b 3a + 2b + (-1a + 1b) = 5b Reorder the terms: 3a + -1a + 2b + 1b = 5b Combine like terms: 3a + -1a = 2a 2a + 2b + 1b = 5b Combine like terms: 2b + 1b = 3b 2a + 3b = 5b Solving 2a + 3b = 5b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 2a + 3b + -3b = 5b + -3b Combine like terms: 3b + -3b = 0 2a + 0 = 5b + -3b 2a = 5b + -3b Combine like terms: 5b + -3b = 2b 2a = 2b Divide each side by '2'. a = b Simplifying a = b
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