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Simplifying -5a + 8 + 2a = 4a + -9a Reorder the terms: 8 + -5a + 2a = 4a + -9a Combine like terms: -5a + 2a = -3a 8 + -3a = 4a + -9a Combine like terms: 4a + -9a = -5a 8 + -3a = -5a Solving 8 + -3a = -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. 8 + -3a + 5a = -5a + 5a Combine like terms: -3a + 5a = 2a 8 + 2a = -5a + 5a Combine like terms: -5a + 5a = 0 8 + 2a = 0 Add '-8' to each side of the equation. 8 + -8 + 2a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2a = 0 + -8 2a = 0 + -8 Combine like terms: 0 + -8 = -8 2a = -8 Divide each side by '2'. a = -4 Simplifying a = -4
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