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Simplifying 12a + 5 = 8a + 9 Reorder the terms: 5 + 12a = 8a + 9 Reorder the terms: 5 + 12a = 9 + 8a Solving 5 + 12a = 9 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 5 + 12a + -8a = 9 + 8a + -8a Combine like terms: 12a + -8a = 4a 5 + 4a = 9 + 8a + -8a Combine like terms: 8a + -8a = 0 5 + 4a = 9 + 0 5 + 4a = 9 Add '-5' to each side of the equation. 5 + -5 + 4a = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 4a = 9 + -5 4a = 9 + -5 Combine like terms: 9 + -5 = 4 4a = 4 Divide each side by '4'. a = 1 Simplifying a = 1
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