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Simplifying -7k + 5 + k = 47 Reorder the terms: 5 + -7k + k = 47 Combine like terms: -7k + k = -6k 5 + -6k = 47 Solving 5 + -6k = 47 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6k = 47 + -5 Combine like terms: 5 + -5 = 0 0 + -6k = 47 + -5 -6k = 47 + -5 Combine like terms: 47 + -5 = 42 -6k = 42 Divide each side by '-6'. k = -7 Simplifying k = -7
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