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Simplifying 13 + 3k = 4k + 7 Reorder the terms: 13 + 3k = 7 + 4k Solving 13 + 3k = 7 + 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. 13 + 3k + -4k = 7 + 4k + -4k Combine like terms: 3k + -4k = -1k 13 + -1k = 7 + 4k + -4k Combine like terms: 4k + -4k = 0 13 + -1k = 7 + 0 13 + -1k = 7 Add '-13' to each side of the equation. 13 + -13 + -1k = 7 + -13 Combine like terms: 13 + -13 = 0 0 + -1k = 7 + -13 -1k = 7 + -13 Combine like terms: 7 + -13 = -6 -1k = -6 Divide each side by '-1'. k = 6 Simplifying k = 6
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