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Simplifying -5a + 21 + 7a = 3a + -8a Reorder the terms: 21 + -5a + 7a = 3a + -8a Combine like terms: -5a + 7a = 2a 21 + 2a = 3a + -8a Combine like terms: 3a + -8a = -5a 21 + 2a = -5a Solving 21 + 2a = -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. 21 + 2a + 5a = -5a + 5a Combine like terms: 2a + 5a = 7a 21 + 7a = -5a + 5a Combine like terms: -5a + 5a = 0 21 + 7a = 0 Add '-21' to each side of the equation. 21 + -21 + 7a = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 7a = 0 + -21 7a = 0 + -21 Combine like terms: 0 + -21 = -21 7a = -21 Divide each side by '7'. a = -3 Simplifying a = -3
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