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Simplifying 9 + 11a = 5a + 21 Reorder the terms: 9 + 11a = 21 + 5a Solving 9 + 11a = 21 + 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. 9 + 11a + -5a = 21 + 5a + -5a Combine like terms: 11a + -5a = 6a 9 + 6a = 21 + 5a + -5a Combine like terms: 5a + -5a = 0 9 + 6a = 21 + 0 9 + 6a = 21 Add '-9' to each side of the equation. 9 + -9 + 6a = 21 + -9 Combine like terms: 9 + -9 = 0 0 + 6a = 21 + -9 6a = 21 + -9 Combine like terms: 21 + -9 = 12 6a = 12 Divide each side by '6'. a = 2 Simplifying a = 2
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