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Simplifying 7 + -2k = k + 22 Reorder the terms: 7 + -2k = 22 + k Solving 7 + -2k = 22 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 7 + -2k + -1k = 22 + k + -1k Combine like terms: -2k + -1k = -3k 7 + -3k = 22 + k + -1k Combine like terms: k + -1k = 0 7 + -3k = 22 + 0 7 + -3k = 22 Add '-7' to each side of the equation. 7 + -7 + -3k = 22 + -7 Combine like terms: 7 + -7 = 0 0 + -3k = 22 + -7 -3k = 22 + -7 Combine like terms: 22 + -7 = 15 -3k = 15 Divide each side by '-3'. k = -5 Simplifying k = -5
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