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Simplifying 31 = 13 + -2a Solving 31 = 13 + -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. 31 + 2a = 13 + -2a + 2a Combine like terms: -2a + 2a = 0 31 + 2a = 13 + 0 31 + 2a = 13 Add '-31' to each side of the equation. 31 + -31 + 2a = 13 + -31 Combine like terms: 31 + -31 = 0 0 + 2a = 13 + -31 2a = 13 + -31 Combine like terms: 13 + -31 = -18 2a = -18 Divide each side by '2'. a = -9 Simplifying a = -9
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