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