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Simplifying -6k = 5(7k + 7) + -6k Reorder the terms: -6k = 5(7 + 7k) + -6k -6k = (7 * 5 + 7k * 5) + -6k -6k = (35 + 35k) + -6k Combine like terms: 35k + -6k = 29k -6k = 35 + 29k Solving -6k = 35 + 29k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-29k' to each side of the equation. -6k + -29k = 35 + 29k + -29k Combine like terms: -6k + -29k = -35k -35k = 35 + 29k + -29k Combine like terms: 29k + -29k = 0 -35k = 35 + 0 -35k = 35 Divide each side by '-35'. k = -1 Simplifying k = -1
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