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Simplifying 31 = 10 + -7a Solving 31 = 10 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 31 + 7a = 10 + -7a + 7a Combine like terms: -7a + 7a = 0 31 + 7a = 10 + 0 31 + 7a = 10 Add '-31' to each side of the equation. 31 + -31 + 7a = 10 + -31 Combine like terms: 31 + -31 = 0 0 + 7a = 10 + -31 7a = 10 + -31 Combine like terms: 10 + -31 = -21 7a = -21 Divide each side by '7'. a = -3 Simplifying a = -3
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