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Simplifying k + -7 = 11 + -5k Reorder the terms: -7 + k = 11 + -5k Solving -7 + k = 11 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -7 + k + 5k = 11 + -5k + 5k Combine like terms: k + 5k = 6k -7 + 6k = 11 + -5k + 5k Combine like terms: -5k + 5k = 0 -7 + 6k = 11 + 0 -7 + 6k = 11 Add '7' to each side of the equation. -7 + 7 + 6k = 11 + 7 Combine like terms: -7 + 7 = 0 0 + 6k = 11 + 7 6k = 11 + 7 Combine like terms: 11 + 7 = 18 6k = 18 Divide each side by '6'. k = 3 Simplifying k = 3
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