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Simplifying 7 + 3k + -2 = 4k Reorder the terms: 7 + -2 + 3k = 4k Combine like terms: 7 + -2 = 5 5 + 3k = 4k Solving 5 + 3k = 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. 5 + 3k + -4k = 4k + -4k Combine like terms: 3k + -4k = -1k 5 + -1k = 4k + -4k Combine like terms: 4k + -4k = 0 5 + -1k = 0 Add '-5' to each side of the equation. 5 + -5 + -1k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1k = 0 + -5 -1k = 0 + -5 Combine like terms: 0 + -5 = -5 -1k = -5 Divide each side by '-1'. k = 5 Simplifying k = 5
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