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Simplifying 5a + 24 = 2a + 15 Reorder the terms: 24 + 5a = 2a + 15 Reorder the terms: 24 + 5a = 15 + 2a Solving 24 + 5a = 15 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 24 + 5a + -2a = 15 + 2a + -2a Combine like terms: 5a + -2a = 3a 24 + 3a = 15 + 2a + -2a Combine like terms: 2a + -2a = 0 24 + 3a = 15 + 0 24 + 3a = 15 Add '-24' to each side of the equation. 24 + -24 + 3a = 15 + -24 Combine like terms: 24 + -24 = 0 0 + 3a = 15 + -24 3a = 15 + -24 Combine like terms: 15 + -24 = -9 3a = -9 Divide each side by '3'. a = -3 Simplifying a = -3
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