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