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Simplifying 5k = 4(k + -1) Reorder the terms: 5k = 4(-1 + k) 5k = (-1 * 4 + k * 4) 5k = (-4 + 4k) Solving 5k = -4 + 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. 5k + -4k = -4 + 4k + -4k Combine like terms: 5k + -4k = 1k 1k = -4 + 4k + -4k Combine like terms: 4k + -4k = 0 1k = -4 + 0 1k = -4 Divide each side by '1'. k = -4 Simplifying k = -4
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