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Simplifying 3k + -5 = -6k + 2 + 2k Reorder the terms: -5 + 3k = -6k + 2 + 2k Reorder the terms: -5 + 3k = 2 + -6k + 2k Combine like terms: -6k + 2k = -4k -5 + 3k = 2 + -4k Solving -5 + 3k = 2 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -5 + 3k + 4k = 2 + -4k + 4k Combine like terms: 3k + 4k = 7k -5 + 7k = 2 + -4k + 4k Combine like terms: -4k + 4k = 0 -5 + 7k = 2 + 0 -5 + 7k = 2 Add '5' to each side of the equation. -5 + 5 + 7k = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 7k = 2 + 5 7k = 2 + 5 Combine like terms: 2 + 5 = 7 7k = 7 Divide each side by '7'. k = 1 Simplifying k = 1
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