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Simplifying 4a + 2b = 3a + 5b + 2 Reorder the terms: 4a + 2b = 2 + 3a + 5b Solving 4a + 2b = 2 + 3a + 5b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 4a + -3a + 2b = 2 + 3a + -3a + 5b Combine like terms: 4a + -3a = 1a 1a + 2b = 2 + 3a + -3a + 5b Combine like terms: 3a + -3a = 0 1a + 2b = 2 + 0 + 5b 1a + 2b = 2 + 5b Add '-2b' to each side of the equation. 1a + 2b + -2b = 2 + 5b + -2b Combine like terms: 2b + -2b = 0 1a + 0 = 2 + 5b + -2b 1a = 2 + 5b + -2b Combine like terms: 5b + -2b = 3b 1a = 2 + 3b Divide each side by '1'. a = 2 + 3b Simplifying a = 2 + 3b
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