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Simplifying 6 = 3 + -6k + -3 Reorder the terms: 6 = 3 + -3 + -6k Combine like terms: 3 + -3 = 0 6 = 0 + -6k 6 = -6k Solving 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. 6 + 6k = -6k + 6k Combine like terms: -6k + 6k = 0 6 + 6k = 0 Add '-6' to each side of the equation. 6 + -6 + 6k = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 6k = 0 + -6 6k = 0 + -6 Combine like terms: 0 + -6 = -6 6k = -6 Divide each side by '6'. k = -1 Simplifying k = -1
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