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Simplifying -2a + 20 + 9a = 5a + -8a Reorder the terms: 20 + -2a + 9a = 5a + -8a Combine like terms: -2a + 9a = 7a 20 + 7a = 5a + -8a Combine like terms: 5a + -8a = -3a 20 + 7a = -3a Solving 20 + 7a = -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. 20 + 7a + 3a = -3a + 3a Combine like terms: 7a + 3a = 10a 20 + 10a = -3a + 3a Combine like terms: -3a + 3a = 0 20 + 10a = 0 Add '-20' to each side of the equation. 20 + -20 + 10a = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 10a = 0 + -20 10a = 0 + -20 Combine like terms: 0 + -20 = -20 10a = -20 Divide each side by '10'. a = -2 Simplifying a = -2
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