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Simplifying 8a + -5a + 12 = a + 24 Reorder the terms: 12 + 8a + -5a = a + 24 Combine like terms: 8a + -5a = 3a 12 + 3a = a + 24 Reorder the terms: 12 + 3a = 24 + a Solving 12 + 3a = 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. 12 + 3a + -1a = 24 + a + -1a Combine like terms: 3a + -1a = 2a 12 + 2a = 24 + a + -1a Combine like terms: a + -1a = 0 12 + 2a = 24 + 0 12 + 2a = 24 Add '-12' to each side of the equation. 12 + -12 + 2a = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 2a = 24 + -12 2a = 24 + -12 Combine like terms: 24 + -12 = 12 2a = 12 Divide each side by '2'. a = 6 Simplifying a = 6
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