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Simplifying 1 + -5k + 6k = 6k + 16 Combine like terms: -5k + 6k = 1k 1 + 1k = 6k + 16 Reorder the terms: 1 + 1k = 16 + 6k Solving 1 + 1k = 16 + 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. 1 + 1k + -6k = 16 + 6k + -6k Combine like terms: 1k + -6k = -5k 1 + -5k = 16 + 6k + -6k Combine like terms: 6k + -6k = 0 1 + -5k = 16 + 0 1 + -5k = 16 Add '-1' to each side of the equation. 1 + -1 + -5k = 16 + -1 Combine like terms: 1 + -1 = 0 0 + -5k = 16 + -1 -5k = 16 + -1 Combine like terms: 16 + -1 = 15 -5k = 15 Divide each side by '-5'. k = -3 Simplifying k = -3
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