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Simplifying 1 = 6k + 1 + 5k Reorder the terms: 1 = 1 + 6k + 5k Combine like terms: 6k + 5k = 11k 1 = 1 + 11k Add '-1' to each side of the equation. 1 + -1 = 1 + -1 + 11k Combine like terms: 1 + -1 = 0 0 = 1 + -1 + 11k Combine like terms: 1 + -1 = 0 0 = 0 + 11k 0 = 11k Solving 0 = 11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11k' to each side of the equation. 0 + -11k = 11k + -11k Remove the zero: -11k = 11k + -11k Combine like terms: 11k + -11k = 0 -11k = 0 Divide each side by '-11'. k = 0 Simplifying k = 0
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