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Simplifying 3a + 1 = 2a + 9 Reorder the terms: 1 + 3a = 2a + 9 Reorder the terms: 1 + 3a = 9 + 2a Solving 1 + 3a = 9 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 1 + 3a + -2a = 9 + 2a + -2a Combine like terms: 3a + -2a = 1a 1 + 1a = 9 + 2a + -2a Combine like terms: 2a + -2a = 0 1 + 1a = 9 + 0 1 + 1a = 9 Add '-1' to each side of the equation. 1 + -1 + 1a = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 1a = 9 + -1 1a = 9 + -1 Combine like terms: 9 + -1 = 8 1a = 8 Divide each side by '1'. a = 8 Simplifying a = 8
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