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