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Simplifying 2a + 12 = 31 + -3a Reorder the terms: 12 + 2a = 31 + -3a Solving 12 + 2a = 31 + -3a 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. 12 + 2a + 3a = 31 + -3a + 3a Combine like terms: 2a + 3a = 5a 12 + 5a = 31 + -3a + 3a Combine like terms: -3a + 3a = 0 12 + 5a = 31 + 0 12 + 5a = 31 Add '-12' to each side of the equation. 12 + -12 + 5a = 31 + -12 Combine like terms: 12 + -12 = 0 0 + 5a = 31 + -12 5a = 31 + -12 Combine like terms: 31 + -12 = 19 5a = 19 Divide each side by '5'. a = 3.8 Simplifying a = 3.8
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