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Simplifying 5k + 9 = 1 + 6k Reorder the terms: 9 + 5k = 1 + 6k Solving 9 + 5k = 1 + 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. 9 + 5k + -6k = 1 + 6k + -6k Combine like terms: 5k + -6k = -1k 9 + -1k = 1 + 6k + -6k Combine like terms: 6k + -6k = 0 9 + -1k = 1 + 0 9 + -1k = 1 Add '-9' to each side of the equation. 9 + -9 + -1k = 1 + -9 Combine like terms: 9 + -9 = 0 0 + -1k = 1 + -9 -1k = 1 + -9 Combine like terms: 1 + -9 = -8 -1k = -8 Divide each side by '-1'. k = 8 Simplifying k = 8
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