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Simplifying 2a + 21 = 8a + 9 Reorder the terms: 21 + 2a = 8a + 9 Reorder the terms: 21 + 2a = 9 + 8a Solving 21 + 2a = 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. 21 + 2a + -8a = 9 + 8a + -8a Combine like terms: 2a + -8a = -6a 21 + -6a = 9 + 8a + -8a Combine like terms: 8a + -8a = 0 21 + -6a = 9 + 0 21 + -6a = 9 Add '-21' to each side of the equation. 21 + -21 + -6a = 9 + -21 Combine like terms: 21 + -21 = 0 0 + -6a = 9 + -21 -6a = 9 + -21 Combine like terms: 9 + -21 = -12 -6a = -12 Divide each side by '-6'. a = 2 Simplifying a = 2
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