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Simplifying 12a + 31 = 23a + -2 Reorder the terms: 31 + 12a = 23a + -2 Reorder the terms: 31 + 12a = -2 + 23a Solving 31 + 12a = -2 + 23a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-23a' to each side of the equation. 31 + 12a + -23a = -2 + 23a + -23a Combine like terms: 12a + -23a = -11a 31 + -11a = -2 + 23a + -23a Combine like terms: 23a + -23a = 0 31 + -11a = -2 + 0 31 + -11a = -2 Add '-31' to each side of the equation. 31 + -31 + -11a = -2 + -31 Combine like terms: 31 + -31 = 0 0 + -11a = -2 + -31 -11a = -2 + -31 Combine like terms: -2 + -31 = -33 -11a = -33 Divide each side by '-11'. a = 3 Simplifying a = 3
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