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Simplifying -5a + 16 + 8a = 4a + -9a Reorder the terms: 16 + -5a + 8a = 4a + -9a Combine like terms: -5a + 8a = 3a 16 + 3a = 4a + -9a Combine like terms: 4a + -9a = -5a 16 + 3a = -5a Solving 16 + 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. 16 + 3a + 5a = -5a + 5a Combine like terms: 3a + 5a = 8a 16 + 8a = -5a + 5a Combine like terms: -5a + 5a = 0 16 + 8a = 0 Add '-16' to each side of the equation. 16 + -16 + 8a = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 8a = 0 + -16 8a = 0 + -16 Combine like terms: 0 + -16 = -16 8a = -16 Divide each side by '8'. a = -2 Simplifying a = -2
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