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Simplifying (6k + 2) + 9 = 43 Reorder the terms: (2 + 6k) + 9 = 43 Remove parenthesis around (2 + 6k) 2 + 6k + 9 = 43 Reorder the terms: 2 + 9 + 6k = 43 Combine like terms: 2 + 9 = 11 11 + 6k = 43 Solving 11 + 6k = 43 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 6k = 43 + -11 Combine like terms: 11 + -11 = 0 0 + 6k = 43 + -11 6k = 43 + -11 Combine like terms: 43 + -11 = 32 6k = 32 Divide each side by '6'. k = 5.333333333 Simplifying k = 5.333333333
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