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Simplifying 2k + 7 = 5k + -1k Reorder the terms: 7 + 2k = 5k + -1k Combine like terms: 5k + -1k = 4k 7 + 2k = 4k Solving 7 + 2k = 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 + 2k + -4k = 4k + -4k Combine like terms: 2k + -4k = -2k 7 + -2k = 4k + -4k Combine like terms: 4k + -4k = 0 7 + -2k = 0 Add '-7' to each side of the equation. 7 + -7 + -2k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2k = 0 + -7 -2k = 0 + -7 Combine like terms: 0 + -7 = -7 -2k = -7 Divide each side by '-2'. k = 3.5 Simplifying k = 3.5
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