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Simplifying 8 = 8k + 13 + -3k Reorder the terms: 8 = 13 + 8k + -3k Combine like terms: 8k + -3k = 5k 8 = 13 + 5k Solving 8 = 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 + -5k = 13 + 5k + -5k Combine like terms: 5k + -5k = 0 8 + -5k = 13 + 0 8 + -5k = 13 Add '-8' to each side of the equation. 8 + -8 + -5k = 13 + -8 Combine like terms: 8 + -8 = 0 0 + -5k = 13 + -8 -5k = 13 + -8 Combine like terms: 13 + -8 = 5 -5k = 5 Divide each side by '-5'. k = -1 Simplifying k = -1
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