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Simplifying 3k + -6 = 6 + 2k + 5k Reorder the terms: -6 + 3k = 6 + 2k + 5k Combine like terms: 2k + 5k = 7k -6 + 3k = 6 + 7k Solving -6 + 3k = 6 + 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. -6 + 3k + -7k = 6 + 7k + -7k Combine like terms: 3k + -7k = -4k -6 + -4k = 6 + 7k + -7k Combine like terms: 7k + -7k = 0 -6 + -4k = 6 + 0 -6 + -4k = 6 Add '6' to each side of the equation. -6 + 6 + -4k = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -4k = 6 + 6 -4k = 6 + 6 Combine like terms: 6 + 6 = 12 -4k = 12 Divide each side by '-4'. k = -3 Simplifying k = -3
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