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Simplifying 13 + -4k = k + 8 Reorder the terms: 13 + -4k = 8 + k Solving 13 + -4k = 8 + 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. 13 + -4k + -1k = 8 + k + -1k Combine like terms: -4k + -1k = -5k 13 + -5k = 8 + k + -1k Combine like terms: k + -1k = 0 13 + -5k = 8 + 0 13 + -5k = 8 Add '-13' to each side of the equation. 13 + -13 + -5k = 8 + -13 Combine like terms: 13 + -13 = 0 0 + -5k = 8 + -13 -5k = 8 + -13 Combine like terms: 8 + -13 = -5 -5k = -5 Divide each side by '-5'. k = 1 Simplifying k = 1
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