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Simplifying -3a + 21 + 8a = 2a + -4a Reorder the terms: 21 + -3a + 8a = 2a + -4a Combine like terms: -3a + 8a = 5a 21 + 5a = 2a + -4a Combine like terms: 2a + -4a = -2a 21 + 5a = -2a Solving 21 + 5a = -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 21 + 5a + 2a = -2a + 2a Combine like terms: 5a + 2a = 7a 21 + 7a = -2a + 2a Combine like terms: -2a + 2a = 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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