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Simplifying 1 + 6k = k + 1 + 8k Reorder the terms: 1 + 6k = 1 + k + 8k Combine like terms: k + 8k = 9k 1 + 6k = 1 + 9k Add '-1' to each side of the equation. 1 + -1 + 6k = 1 + -1 + 9k Combine like terms: 1 + -1 = 0 0 + 6k = 1 + -1 + 9k 6k = 1 + -1 + 9k Combine like terms: 1 + -1 = 0 6k = 0 + 9k 6k = 9k Solving 6k = 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 6k + -9k = 9k + -9k Combine like terms: 6k + -9k = -3k -3k = 9k + -9k Combine like terms: 9k + -9k = 0 -3k = 0 Divide each side by '-3'. k = 0 Simplifying k = 0
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