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Simplifying -4a + 21 + 8a = 6a + -9a Reorder the terms: 21 + -4a + 8a = 6a + -9a Combine like terms: -4a + 8a = 4a 21 + 4a = 6a + -9a Combine like terms: 6a + -9a = -3a 21 + 4a = -3a Solving 21 + 4a = -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 21 + 4a + 3a = -3a + 3a Combine like terms: 4a + 3a = 7a 21 + 7a = -3a + 3a Combine like terms: -3a + 3a = 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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