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Simplifying 8x + 5k = 1 + k Reorder the terms: 5k + 8x = 1 + k Solving 5k + 8x = 1 + 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. 5k + -1k + 8x = 1 + k + -1k Combine like terms: 5k + -1k = 4k 4k + 8x = 1 + k + -1k Combine like terms: k + -1k = 0 4k + 8x = 1 + 0 4k + 8x = 1 Add '-8x' to each side of the equation. 4k + 8x + -8x = 1 + -8x Combine like terms: 8x + -8x = 0 4k + 0 = 1 + -8x 4k = 1 + -8x Divide each side by '4'. k = 0.25 + -2x Simplifying k = 0.25 + -2x
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