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Simplifying 5a + 8 + -3a = a + 24 Reorder the terms: 8 + 5a + -3a = a + 24 Combine like terms: 5a + -3a = 2a 8 + 2a = a + 24 Reorder the terms: 8 + 2a = 24 + a Solving 8 + 2a = 24 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 8 + 2a + -1a = 24 + a + -1a Combine like terms: 2a + -1a = 1a 8 + 1a = 24 + a + -1a Combine like terms: a + -1a = 0 8 + 1a = 24 + 0 8 + 1a = 24 Add '-8' to each side of the equation. 8 + -8 + 1a = 24 + -8 Combine like terms: 8 + -8 = 0 0 + 1a = 24 + -8 1a = 24 + -8 Combine like terms: 24 + -8 = 16 1a = 16 Divide each side by '1'. a = 16 Simplifying a = 16
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