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Simplifying 5k + 7 = 13 + 4k Reorder the terms: 7 + 5k = 13 + 4k Solving 7 + 5k = 13 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 7 + 5k + -4k = 13 + 4k + -4k Combine like terms: 5k + -4k = 1k 7 + 1k = 13 + 4k + -4k Combine like terms: 4k + -4k = 0 7 + 1k = 13 + 0 7 + 1k = 13 Add '-7' to each side of the equation. 7 + -7 + 1k = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 1k = 13 + -7 1k = 13 + -7 Combine like terms: 13 + -7 = 6 1k = 6 Divide each side by '1'. k = 6 Simplifying k = 6
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