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Simplifying 2 + 5k + -9 = 13 + k Reorder the terms: 2 + -9 + 5k = 13 + k Combine like terms: 2 + -9 = -7 -7 + 5k = 13 + k Solving -7 + 5k = 13 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -7 + 5k + -1k = 13 + k + -1k Combine like terms: 5k + -1k = 4k -7 + 4k = 13 + k + -1k Combine like terms: k + -1k = 0 -7 + 4k = 13 + 0 -7 + 4k = 13 Add '7' to each side of the equation. -7 + 7 + 4k = 13 + 7 Combine like terms: -7 + 7 = 0 0 + 4k = 13 + 7 4k = 13 + 7 Combine like terms: 13 + 7 = 20 4k = 20 Divide each side by '4'. k = 5 Simplifying k = 5
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