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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 = 10a 21 + 10a = -9 + -8a + 8a Combine like terms: -8a + 8a = 0 21 + 10a = -9 + 0 21 + 10a = -9 Add '-21' to each side of the equation. 21 + -21 + 10a = -9 + -21 Combine like terms: 21 + -21 = 0 0 + 10a = -9 + -21 10a = -9 + -21 Combine like terms: -9 + -21 = -30 10a = -30 Divide each side by '10'. a = -3 Simplifying a = -3
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