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Simplifying -1(k + 5) = -6k Reorder the terms: -1(5 + k) = -6k (5 * -1 + k * -1) = -6k (-5 + -1k) = -6k Solving -5 + -1k = -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. -5 + -1k + 6k = -6k + 6k Combine like terms: -1k + 6k = 5k -5 + 5k = -6k + 6k Combine like terms: -6k + 6k = 0 -5 + 5k = 0 Add '5' to each side of the equation. -5 + 5 + 5k = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 5k = 0 + 5 5k = 0 + 5 Combine like terms: 0 + 5 = 5 5k = 5 Divide each side by '5'. k = 1 Simplifying k = 1
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