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Simplifying (6a + 11) = 2a + 83 Reorder the terms: (11 + 6a) = 2a + 83 Remove parenthesis around (11 + 6a) 11 + 6a = 2a + 83 Reorder the terms: 11 + 6a = 83 + 2a Solving 11 + 6a = 83 + 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 = 83 + 2a + -2a Combine like terms: 6a + -2a = 4a 11 + 4a = 83 + 2a + -2a Combine like terms: 2a + -2a = 0 11 + 4a = 83 + 0 11 + 4a = 83 Add '-11' to each side of the equation. 11 + -11 + 4a = 83 + -11 Combine like terms: 11 + -11 = 0 0 + 4a = 83 + -11 4a = 83 + -11 Combine like terms: 83 + -11 = 72 4a = 72 Divide each side by '4'. a = 18 Simplifying a = 18
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