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Simplifying 13 + -5k + 4k = 4k + -8 Combine like terms: -5k + 4k = -1k 13 + -1k = 4k + -8 Reorder the terms: 13 + -1k = -8 + 4k Solving 13 + -1k = -8 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 13 + -1k + -4k = -8 + 4k + -4k Combine like terms: -1k + -4k = -5k 13 + -5k = -8 + 4k + -4k Combine like terms: 4k + -4k = 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 = -21 -5k = -21 Divide each side by '-5'. k = 4.2 Simplifying k = 4.2
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