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Simplifying 8 + 5k = 1 + 4k Solving 8 + 5k = 1 + 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. 8 + 5k + -4k = 1 + 4k + -4k Combine like terms: 5k + -4k = 1k 8 + 1k = 1 + 4k + -4k Combine like terms: 4k + -4k = 0 8 + 1k = 1 + 0 8 + 1k = 1 Add '-8' to each side of the equation. 8 + -8 + 1k = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 1k = 1 + -8 1k = 1 + -8 Combine like terms: 1 + -8 = -7 1k = -7 Divide each side by '1'. k = -7 Simplifying k = -7
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