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Simplifying -3a + 24 + 8a = 2a + -9a Reorder the terms: 24 + -3a + 8a = 2a + -9a Combine like terms: -3a + 8a = 5a 24 + 5a = 2a + -9a Combine like terms: 2a + -9a = -7a 24 + 5a = -7a Solving 24 + 5a = -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. 24 + 5a + 7a = -7a + 7a Combine like terms: 5a + 7a = 12a 24 + 12a = -7a + 7a Combine like terms: -7a + 7a = 0 24 + 12a = 0 Add '-24' to each side of the equation. 24 + -24 + 12a = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 12a = 0 + -24 12a = 0 + -24 Combine like terms: 0 + -24 = -24 12a = -24 Divide each side by '12'. a = -2 Simplifying a = -2
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