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Simplifying 22 = k + 7 + -4k Reorder the terms: 22 = 7 + k + -4k Combine like terms: k + -4k = -3k 22 = 7 + -3k Solving 22 = 7 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 22 + 3k = 7 + -3k + 3k Combine like terms: -3k + 3k = 0 22 + 3k = 7 + 0 22 + 3k = 7 Add '-22' to each side of the equation. 22 + -22 + 3k = 7 + -22 Combine like terms: 22 + -22 = 0 0 + 3k = 7 + -22 3k = 7 + -22 Combine like terms: 7 + -22 = -15 3k = -15 Divide each side by '3'. k = -5 Simplifying k = -5
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