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Simplifying -2a + 16 + 9a = 8a + -5a Reorder the terms: 16 + -2a + 9a = 8a + -5a Combine like terms: -2a + 9a = 7a 16 + 7a = 8a + -5a Combine like terms: 8a + -5a = 3a 16 + 7a = 3a Solving 16 + 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. 16 + 7a + -3a = 3a + -3a Combine like terms: 7a + -3a = 4a 16 + 4a = 3a + -3a Combine like terms: 3a + -3a = 0 16 + 4a = 0 Add '-16' to each side of the equation. 16 + -16 + 4a = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 4a = 0 + -16 4a = 0 + -16 Combine like terms: 0 + -16 = -16 4a = -16 Divide each side by '4'. a = -4 Simplifying a = -4
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