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Simplifying 11a + 15 = 8a + 21 Reorder the terms: 15 + 11a = 8a + 21 Reorder the terms: 15 + 11a = 21 + 8a Solving 15 + 11a = 21 + 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. 15 + 11a + -8a = 21 + 8a + -8a Combine like terms: 11a + -8a = 3a 15 + 3a = 21 + 8a + -8a Combine like terms: 8a + -8a = 0 15 + 3a = 21 + 0 15 + 3a = 21 Add '-15' to each side of the equation. 15 + -15 + 3a = 21 + -15 Combine like terms: 15 + -15 = 0 0 + 3a = 21 + -15 3a = 21 + -15 Combine like terms: 21 + -15 = 6 3a = 6 Divide each side by '3'. a = 2 Simplifying a = 2
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