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Simplifying 3a + -1b = 2 + a + 2b Solving 3a + -1b = 2 + a + 2b 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. 3a + -1a + -1b = 2 + a + -1a + 2b Combine like terms: 3a + -1a = 2a 2a + -1b = 2 + a + -1a + 2b Combine like terms: a + -1a = 0 2a + -1b = 2 + 0 + 2b 2a + -1b = 2 + 2b Add 'b' to each side of the equation. 2a + -1b + b = 2 + 2b + b Combine like terms: -1b + b = 0 2a + 0 = 2 + 2b + b 2a = 2 + 2b + b Combine like terms: 2b + b = 3b 2a = 2 + 3b Divide each side by '2'. a = 1 + 1.5b Simplifying a = 1 + 1.5b
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