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Simplifying 6k + 71 = 47 + -2k Reorder the terms: 71 + 6k = 47 + -2k Solving 71 + 6k = 47 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 71 + 6k + 2k = 47 + -2k + 2k Combine like terms: 6k + 2k = 8k 71 + 8k = 47 + -2k + 2k Combine like terms: -2k + 2k = 0 71 + 8k = 47 + 0 71 + 8k = 47 Add '-71' to each side of the equation. 71 + -71 + 8k = 47 + -71 Combine like terms: 71 + -71 = 0 0 + 8k = 47 + -71 8k = 47 + -71 Combine like terms: 47 + -71 = -24 8k = -24 Divide each side by '8'. k = -3 Simplifying k = -3
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