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Simplifying -4a + 24 + 7a = 5a + -8a Reorder the terms: 24 + -4a + 7a = 5a + -8a Combine like terms: -4a + 7a = 3a 24 + 3a = 5a + -8a Combine like terms: 5a + -8a = -3a 24 + 3a = -3a Solving 24 + 3a = -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 24 + 3a + 3a = -3a + 3a Combine like terms: 3a + 3a = 6a 24 + 6a = -3a + 3a Combine like terms: -3a + 3a = 0 24 + 6a = 0 Add '-24' to each side of the equation. 24 + -24 + 6a = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 6a = 0 + -24 6a = 0 + -24 Combine like terms: 0 + -24 = -24 6a = -24 Divide each side by '6'. a = -4 Simplifying a = -4
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