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Simplifying 8a + -9 = 5a + 21 Reorder the terms: -9 + 8a = 5a + 21 Reorder the terms: -9 + 8a = 21 + 5a Solving -9 + 8a = 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 + 8a + -5a = 21 + 5a + -5a Combine like terms: 8a + -5a = 3a -9 + 3a = 21 + 5a + -5a Combine like terms: 5a + -5a = 0 -9 + 3a = 21 + 0 -9 + 3a = 21 Add '9' to each side of the equation. -9 + 9 + 3a = 21 + 9 Combine like terms: -9 + 9 = 0 0 + 3a = 21 + 9 3a = 21 + 9 Combine like terms: 21 + 9 = 30 3a = 30 Divide each side by '3'. a = 10 Simplifying a = 10
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