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Simplifying k + -5 = -13 + 5k Reorder the terms: -5 + k = -13 + 5k Solving -5 + k = -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. -5 + k + -5k = -13 + 5k + -5k Combine like terms: k + -5k = -4k -5 + -4k = -13 + 5k + -5k Combine like terms: 5k + -5k = 0 -5 + -4k = -13 + 0 -5 + -4k = -13 Add '5' to each side of the equation. -5 + 5 + -4k = -13 + 5 Combine like terms: -5 + 5 = 0 0 + -4k = -13 + 5 -4k = -13 + 5 Combine like terms: -13 + 5 = -8 -4k = -8 Divide each side by '-4'. k = 2 Simplifying k = 2
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