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Simplifying 47 + 6k = 3k + -2 Reorder the terms: 47 + 6k = -2 + 3k Solving 47 + 6k = -2 + 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. 47 + 6k + -3k = -2 + 3k + -3k Combine like terms: 6k + -3k = 3k 47 + 3k = -2 + 3k + -3k Combine like terms: 3k + -3k = 0 47 + 3k = -2 + 0 47 + 3k = -2 Add '-47' to each side of the equation. 47 + -47 + 3k = -2 + -47 Combine like terms: 47 + -47 = 0 0 + 3k = -2 + -47 3k = -2 + -47 Combine like terms: -2 + -47 = -49 3k = -49 Divide each side by '3'. k = -16.33333333 Simplifying k = -16.33333333
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