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Simplifying -4a + 24 + 6a = 3a + -9a Reorder the terms: 24 + -4a + 6a = 3a + -9a Combine like terms: -4a + 6a = 2a 24 + 2a = 3a + -9a Combine like terms: 3a + -9a = -6a 24 + 2a = -6a Solving 24 + 2a = -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 24 + 2a + 6a = -6a + 6a Combine like terms: 2a + 6a = 8a 24 + 8a = -6a + 6a Combine like terms: -6a + 6a = 0 24 + 8a = 0 Add '-24' to each side of the equation. 24 + -24 + 8a = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 8a = 0 + -24 8a = 0 + -24 Combine like terms: 0 + -24 = -24 8a = -24 Divide each side by '8'. a = -3 Simplifying a = -3
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