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Simplifying -5a + 16 + 7a = 3a + -9a Reorder the terms: 16 + -5a + 7a = 3a + -9a Combine like terms: -5a + 7a = 2a 16 + 2a = 3a + -9a Combine like terms: 3a + -9a = -6a 16 + 2a = -6a Solving 16 + 2a = -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 16 + 2a + 6a = -6a + 6a Combine like terms: 2a + 6a = 8a 16 + 8a = -6a + 6a Combine like terms: -6a + 6a = 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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