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Simplifying 5k + 5 = 6k + 13 Reorder the terms: 5 + 5k = 6k + 13 Reorder the terms: 5 + 5k = 13 + 6k Solving 5 + 5k = 13 + 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. 5 + 5k + -6k = 13 + 6k + -6k Combine like terms: 5k + -6k = -1k 5 + -1k = 13 + 6k + -6k Combine like terms: 6k + -6k = 0 5 + -1k = 13 + 0 5 + -1k = 13 Add '-5' to each side of the equation. 5 + -5 + -1k = 13 + -5 Combine like terms: 5 + -5 = 0 0 + -1k = 13 + -5 -1k = 13 + -5 Combine like terms: 13 + -5 = 8 -1k = 8 Divide each side by '-1'. k = -8 Simplifying k = -8
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