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Simplifying -6 + -3k + -6k + 14 = 4 + -7k Reorder the terms: -6 + 14 + -3k + -6k = 4 + -7k Combine like terms: -6 + 14 = 8 8 + -3k + -6k = 4 + -7k Combine like terms: -3k + -6k = -9k 8 + -9k = 4 + -7k Solving 8 + -9k = 4 + -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. 8 + -9k + 7k = 4 + -7k + 7k Combine like terms: -9k + 7k = -2k 8 + -2k = 4 + -7k + 7k Combine like terms: -7k + 7k = 0 8 + -2k = 4 + 0 8 + -2k = 4 Add '-8' to each side of the equation. 8 + -8 + -2k = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -2k = 4 + -8 -2k = 4 + -8 Combine like terms: 4 + -8 = -4 -2k = -4 Divide each side by '-2'. k = 2 Simplifying k = 2
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