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Simplifying 11 = 5 + 4k + -7k Combine like terms: 4k + -7k = -3k 11 = 5 + -3k Solving 11 = 5 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 11 + 3k = 5 + -3k + 3k Combine like terms: -3k + 3k = 0 11 + 3k = 5 + 0 11 + 3k = 5 Add '-11' to each side of the equation. 11 + -11 + 3k = 5 + -11 Combine like terms: 11 + -11 = 0 0 + 3k = 5 + -11 3k = 5 + -11 Combine like terms: 5 + -11 = -6 3k = -6 Divide each side by '3'. k = -2 Simplifying k = -2
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