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Simplifying 47 = 6k + 17 Reorder the terms: 47 = 17 + 6k Solving 47 = 17 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 47 + -6k = 17 + 6k + -6k Combine like terms: 6k + -6k = 0 47 + -6k = 17 + 0 47 + -6k = 17 Add '-47' to each side of the equation. 47 + -47 + -6k = 17 + -47 Combine like terms: 47 + -47 = 0 0 + -6k = 17 + -47 -6k = 17 + -47 Combine like terms: 17 + -47 = -30 -6k = -30 Divide each side by '-6'. k = 5 Simplifying k = 5
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