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Simplifying 18 = k + 6 + -7k Reorder the terms: 18 = 6 + k + -7k Combine like terms: k + -7k = -6k 18 = 6 + -6k Solving 18 = 6 + -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. 18 + 6k = 6 + -6k + 6k Combine like terms: -6k + 6k = 0 18 + 6k = 6 + 0 18 + 6k = 6 Add '-18' to each side of the equation. 18 + -18 + 6k = 6 + -18 Combine like terms: 18 + -18 = 0 0 + 6k = 6 + -18 6k = 6 + -18 Combine like terms: 6 + -18 = -12 6k = -12 Divide each side by '6'. k = -2 Simplifying k = -2
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