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Simplifying 3a + 1 = 9 + -1a Reorder the terms: 1 + 3a = 9 + -1a Solving 1 + 3a = 9 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 1 + 3a + a = 9 + -1a + a Combine like terms: 3a + a = 4a 1 + 4a = 9 + -1a + a Combine like terms: -1a + a = 0 1 + 4a = 9 + 0 1 + 4a = 9 Add '-1' to each side of the equation. 1 + -1 + 4a = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 4a = 9 + -1 4a = 9 + -1 Combine like terms: 9 + -1 = 8 4a = 8 Divide each side by '4'. a = 2 Simplifying a = 2
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