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Simplifying 3a + 8 = 12 + -5a Reorder the terms: 8 + 3a = 12 + -5a Solving 8 + 3a = 12 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 8 + 3a + 5a = 12 + -5a + 5a Combine like terms: 3a + 5a = 8a 8 + 8a = 12 + -5a + 5a Combine like terms: -5a + 5a = 0 8 + 8a = 12 + 0 8 + 8a = 12 Add '-8' to each side of the equation. 8 + -8 + 8a = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 8a = 12 + -8 8a = 12 + -8 Combine like terms: 12 + -8 = 4 8a = 4 Divide each side by '8'. a = 0.5 Simplifying a = 0.5
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