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Simplifying 11k + -2 = 8k + 49 Reorder the terms: -2 + 11k = 8k + 49 Reorder the terms: -2 + 11k = 49 + 8k Solving -2 + 11k = 49 + 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. -2 + 11k + -8k = 49 + 8k + -8k Combine like terms: 11k + -8k = 3k -2 + 3k = 49 + 8k + -8k Combine like terms: 8k + -8k = 0 -2 + 3k = 49 + 0 -2 + 3k = 49 Add '2' to each side of the equation. -2 + 2 + 3k = 49 + 2 Combine like terms: -2 + 2 = 0 0 + 3k = 49 + 2 3k = 49 + 2 Combine like terms: 49 + 2 = 51 3k = 51 Divide each side by '3'. k = 17 Simplifying k = 17
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