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Simplifying 8a + 21 = 6a + 5 Reorder the terms: 21 + 8a = 6a + 5 Reorder the terms: 21 + 8a = 5 + 6a Solving 21 + 8a = 5 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 21 + 8a + -6a = 5 + 6a + -6a Combine like terms: 8a + -6a = 2a 21 + 2a = 5 + 6a + -6a Combine like terms: 6a + -6a = 0 21 + 2a = 5 + 0 21 + 2a = 5 Add '-21' to each side of the equation. 21 + -21 + 2a = 5 + -21 Combine like terms: 21 + -21 = 0 0 + 2a = 5 + -21 2a = 5 + -21 Combine like terms: 5 + -21 = -16 2a = -16 Divide each side by '2'. a = -8 Simplifying a = -8
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