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Simplifying 31 = 5a + 7 + -3a Reorder the terms: 31 = 7 + 5a + -3a Combine like terms: 5a + -3a = 2a 31 = 7 + 2a Solving 31 = 7 + 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 = 7 + 2a + -2a Combine like terms: 2a + -2a = 0 31 + -2a = 7 + 0 31 + -2a = 7 Add '-31' to each side of the equation. 31 + -31 + -2a = 7 + -31 Combine like terms: 31 + -31 = 0 0 + -2a = 7 + -31 -2a = 7 + -31 Combine like terms: 7 + -31 = -24 -2a = -24 Divide each side by '-2'. a = 12 Simplifying a = 12
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