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Simplifying 2k + -2k + 6k + -5 = 13 Reorder the terms: -5 + 2k + -2k + 6k = 13 Combine like terms: 2k + -2k = 0 -5 + 0 + 6k = 13 -5 + 6k = 13 Solving -5 + 6k = 13 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 6k = 13 + 5 Combine like terms: -5 + 5 = 0 0 + 6k = 13 + 5 6k = 13 + 5 Combine like terms: 13 + 5 = 18 6k = 18 Divide each side by '6'. k = 3 Simplifying k = 3
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