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Simplifying -2a + 24 + 4a = 3a + -7a Reorder the terms: 24 + -2a + 4a = 3a + -7a Combine like terms: -2a + 4a = 2a 24 + 2a = 3a + -7a Combine like terms: 3a + -7a = -4a 24 + 2a = -4a Solving 24 + 2a = -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 24 + 2a + 4a = -4a + 4a Combine like terms: 2a + 4a = 6a 24 + 6a = -4a + 4a Combine like terms: -4a + 4a = 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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