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Simplifying -2a + 8 + 6a = 7a + -5a Reorder the terms: 8 + -2a + 6a = 7a + -5a Combine like terms: -2a + 6a = 4a 8 + 4a = 7a + -5a Combine like terms: 7a + -5a = 2a 8 + 4a = 2a Solving 8 + 4a = 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. 8 + 4a + -2a = 2a + -2a Combine like terms: 4a + -2a = 2a 8 + 2a = 2a + -2a Combine like terms: 2a + -2a = 0 8 + 2a = 0 Add '-8' to each side of the equation. 8 + -8 + 2a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2a = 0 + -8 2a = 0 + -8 Combine like terms: 0 + -8 = -8 2a = -8 Divide each side by '2'. a = -4 Simplifying a = -4
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