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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 = 45 3k = 45 Divide each side by '3'. k = 15 Simplifying k = 15
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