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Simplifying 2a + -31 = -9a + 24 Reorder the terms: -31 + 2a = -9a + 24 Reorder the terms: -31 + 2a = 24 + -9a Solving -31 + 2a = 24 + -9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9a' to each side of the equation. -31 + 2a + 9a = 24 + -9a + 9a Combine like terms: 2a + 9a = 11a -31 + 11a = 24 + -9a + 9a Combine like terms: -9a + 9a = 0 -31 + 11a = 24 + 0 -31 + 11a = 24 Add '31' to each side of the equation. -31 + 31 + 11a = 24 + 31 Combine like terms: -31 + 31 = 0 0 + 11a = 24 + 31 11a = 24 + 31 Combine like terms: 24 + 31 = 55 11a = 55 Divide each side by '11'. a = 5 Simplifying a = 5
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