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