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Simplifying 2a + 4 = -3a + 24 Reorder the terms: 4 + 2a = -3a + 24 Reorder the terms: 4 + 2a = 24 + -3a Solving 4 + 2a = 24 + -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. 4 + 2a + 3a = 24 + -3a + 3a Combine like terms: 2a + 3a = 5a 4 + 5a = 24 + -3a + 3a Combine like terms: -3a + 3a = 0 4 + 5a = 24 + 0 4 + 5a = 24 Add '-4' to each side of the equation. 4 + -4 + 5a = 24 + -4 Combine like terms: 4 + -4 = 0 0 + 5a = 24 + -4 5a = 24 + -4 Combine like terms: 24 + -4 = 20 5a = 20 Divide each side by '5'. a = 4 Simplifying a = 4
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