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Simplifying 2k + -8 = 13 + 5k Reorder the terms: -8 + 2k = 13 + 5k Solving -8 + 2k = 13 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -8 + 2k + -5k = 13 + 5k + -5k Combine like terms: 2k + -5k = -3k -8 + -3k = 13 + 5k + -5k Combine like terms: 5k + -5k = 0 -8 + -3k = 13 + 0 -8 + -3k = 13 Add '8' to each side of the equation. -8 + 8 + -3k = 13 + 8 Combine like terms: -8 + 8 = 0 0 + -3k = 13 + 8 -3k = 13 + 8 Combine like terms: 13 + 8 = 21 -3k = 21 Divide each side by '-3'. k = -7 Simplifying k = -7
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