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