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Simplifying -1(-4k + -4) = -1k + -1 Reorder the terms: -1(-4 + -4k) = -1k + -1 (-4 * -1 + -4k * -1) = -1k + -1 (4 + 4k) = -1k + -1 Reorder the terms: 4 + 4k = -1 + -1k Solving 4 + 4k = -1 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 4 + 4k + k = -1 + -1k + k Combine like terms: 4k + k = 5k 4 + 5k = -1 + -1k + k Combine like terms: -1k + k = 0 4 + 5k = -1 + 0 4 + 5k = -1 Add '-4' to each side of the equation. 4 + -4 + 5k = -1 + -4 Combine like terms: 4 + -4 = 0 0 + 5k = -1 + -4 5k = -1 + -4 Combine like terms: -1 + -4 = -5 5k = -5 Divide each side by '5'. k = -1 Simplifying k = -1
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