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Simplifying 2a + 5 = 8a + -6 Reorder the terms: 5 + 2a = 8a + -6 Reorder the terms: 5 + 2a = -6 + 8a Solving 5 + 2a = -6 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 5 + 2a + -8a = -6 + 8a + -8a Combine like terms: 2a + -8a = -6a 5 + -6a = -6 + 8a + -8a Combine like terms: 8a + -8a = 0 5 + -6a = -6 + 0 5 + -6a = -6 Add '-5' to each side of the equation. 5 + -5 + -6a = -6 + -5 Combine like terms: 5 + -5 = 0 0 + -6a = -6 + -5 -6a = -6 + -5 Combine like terms: -6 + -5 = -11 -6a = -11 Divide each side by '-6'. a = 1.833333333 Simplifying a = 1.833333333
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