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Simplifying 3a + 4b = a + 6 Reorder the terms: 3a + 4b = 6 + a Solving 3a + 4b = 6 + a 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 + 4b = 6 + a + -1a Combine like terms: 3a + -1a = 2a 2a + 4b = 6 + a + -1a Combine like terms: a + -1a = 0 2a + 4b = 6 + 0 2a + 4b = 6 Add '-4b' to each side of the equation. 2a + 4b + -4b = 6 + -4b Combine like terms: 4b + -4b = 0 2a + 0 = 6 + -4b 2a = 6 + -4b Divide each side by '2'. a = 3 + -2b Simplifying a = 3 + -2b
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