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Simplifying 31 = 15 + -8a Solving 31 = 15 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 31 + 8a = 15 + -8a + 8a Combine like terms: -8a + 8a = 0 31 + 8a = 15 + 0 31 + 8a = 15 Add '-31' to each side of the equation. 31 + -31 + 8a = 15 + -31 Combine like terms: 31 + -31 = 0 0 + 8a = 15 + -31 8a = 15 + -31 Combine like terms: 15 + -31 = -16 8a = -16 Divide each side by '8'. a = -2 Simplifying a = -2
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