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Simplifying -4a + 16 + 9a = 2a + -5a Reorder the terms: 16 + -4a + 9a = 2a + -5a Combine like terms: -4a + 9a = 5a 16 + 5a = 2a + -5a Combine like terms: 2a + -5a = -3a 16 + 5a = -3a Solving 16 + 5a = -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. 16 + 5a + 3a = -3a + 3a Combine like terms: 5a + 3a = 8a 16 + 8a = -3a + 3a Combine like terms: -3a + 3a = 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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