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Simplifying -6k + 7k + 5 = -5 + 3k Reorder the terms: 5 + -6k + 7k = -5 + 3k Combine like terms: -6k + 7k = 1k 5 + 1k = -5 + 3k Solving 5 + 1k = -5 + 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. 5 + 1k + -3k = -5 + 3k + -3k Combine like terms: 1k + -3k = -2k 5 + -2k = -5 + 3k + -3k Combine like terms: 3k + -3k = 0 5 + -2k = -5 + 0 5 + -2k = -5 Add '-5' to each side of the equation. 5 + -5 + -2k = -5 + -5 Combine like terms: 5 + -5 = 0 0 + -2k = -5 + -5 -2k = -5 + -5 Combine like terms: -5 + -5 = -10 -2k = -10 Divide each side by '-2'. k = 5 Simplifying k = 5
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