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