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Simplifying 22 + 5k = 8k + 1 Reorder the terms: 22 + 5k = 1 + 8k Solving 22 + 5k = 1 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 22 + 5k + -8k = 1 + 8k + -8k Combine like terms: 5k + -8k = -3k 22 + -3k = 1 + 8k + -8k Combine like terms: 8k + -8k = 0 22 + -3k = 1 + 0 22 + -3k = 1 Add '-22' to each side of the equation. 22 + -22 + -3k = 1 + -22 Combine like terms: 22 + -22 = 0 0 + -3k = 1 + -22 -3k = 1 + -22 Combine like terms: 1 + -22 = -21 -3k = -21 Divide each side by '-3'. k = 7 Simplifying k = 7
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