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Simplifying 31 + -9a = 12a + 52 Reorder the terms: 31 + -9a = 52 + 12a Solving 31 + -9a = 52 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 31 + -9a + -12a = 52 + 12a + -12a Combine like terms: -9a + -12a = -21a 31 + -21a = 52 + 12a + -12a Combine like terms: 12a + -12a = 0 31 + -21a = 52 + 0 31 + -21a = 52 Add '-31' to each side of the equation. 31 + -31 + -21a = 52 + -31 Combine like terms: 31 + -31 = 0 0 + -21a = 52 + -31 -21a = 52 + -31 Combine like terms: 52 + -31 = 21 -21a = 21 Divide each side by '-21'. a = -1 Simplifying a = -1
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