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Simplifying 16 + -6k = k + 72 Reorder the terms: 16 + -6k = 72 + k Solving 16 + -6k = 72 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 16 + -6k + -1k = 72 + k + -1k Combine like terms: -6k + -1k = -7k 16 + -7k = 72 + k + -1k Combine like terms: k + -1k = 0 16 + -7k = 72 + 0 16 + -7k = 72 Add '-16' to each side of the equation. 16 + -16 + -7k = 72 + -16 Combine like terms: 16 + -16 = 0 0 + -7k = 72 + -16 -7k = 72 + -16 Combine like terms: 72 + -16 = 56 -7k = 56 Divide each side by '-7'. k = -8 Simplifying k = -8
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