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Simplifying 5(k + 1) = -25 + -1k Reorder the terms: 5(1 + k) = -25 + -1k (1 * 5 + k * 5) = -25 + -1k (5 + 5k) = -25 + -1k Solving 5 + 5k = -25 + -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. 5 + 5k + k = -25 + -1k + k Combine like terms: 5k + k = 6k 5 + 6k = -25 + -1k + k Combine like terms: -1k + k = 0 5 + 6k = -25 + 0 5 + 6k = -25 Add '-5' to each side of the equation. 5 + -5 + 6k = -25 + -5 Combine like terms: 5 + -5 = 0 0 + 6k = -25 + -5 6k = -25 + -5 Combine like terms: -25 + -5 = -30 6k = -30 Divide each side by '6'. k = -5 Simplifying k = -5
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