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