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Simplifying 12a + 13 + -9a = 31 Reorder the terms: 13 + 12a + -9a = 31 Combine like terms: 12a + -9a = 3a 13 + 3a = 31 Solving 13 + 3a = 31 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 3a = 31 + -13 Combine like terms: 13 + -13 = 0 0 + 3a = 31 + -13 3a = 31 + -13 Combine like terms: 31 + -13 = 18 3a = 18 Divide each side by '3'. a = 6 Simplifying a = 6
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