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Simplifying 1 + 6k = 1 + -6k Add '-1' to each side of the equation. 1 + -1 + 6k = 1 + -1 + -6k Combine like terms: 1 + -1 = 0 0 + 6k = 1 + -1 + -6k 6k = 1 + -1 + -6k Combine like terms: 1 + -1 = 0 6k = 0 + -6k 6k = -6k Solving 6k = -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. 6k + 6k = -6k + 6k Combine like terms: 6k + 6k = 12k 12k = -6k + 6k Combine like terms: -6k + 6k = 0 12k = 0 Divide each side by '12'. k = 0 Simplifying k = 0
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