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Simplifying 6a + 11 = 2a + 82 Reorder the terms: 11 + 6a = 2a + 82 Reorder the terms: 11 + 6a = 82 + 2a Solving 11 + 6a = 82 + 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. 11 + 6a + -2a = 82 + 2a + -2a Combine like terms: 6a + -2a = 4a 11 + 4a = 82 + 2a + -2a Combine like terms: 2a + -2a = 0 11 + 4a = 82 + 0 11 + 4a = 82 Add '-11' to each side of the equation. 11 + -11 + 4a = 82 + -11 Combine like terms: 11 + -11 = 0 0 + 4a = 82 + -11 4a = 82 + -11 Combine like terms: 82 + -11 = 71 4a = 71 Divide each side by '4'. a = 17.75 Simplifying a = 17.75
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