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Simplifying k = 2(11 + -1k) + 13 k = (11 * 2 + -1k * 2) + 13 k = (22 + -2k) + 13 Reorder the terms: k = 22 + 13 + -2k Combine like terms: 22 + 13 = 35 k = 35 + -2k Solving k = 35 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. k + 2k = 35 + -2k + 2k Combine like terms: k + 2k = 3k 3k = 35 + -2k + 2k Combine like terms: -2k + 2k = 0 3k = 35 + 0 3k = 35 Divide each side by '3'. k = 11.66666667 Simplifying k = 11.66666667
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