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Simplifying 5(-1k + 2) = 15 + -6k Reorder the terms: 5(2 + -1k) = 15 + -6k (2 * 5 + -1k * 5) = 15 + -6k (10 + -5k) = 15 + -6k Solving 10 + -5k = 15 + -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. 10 + -5k + 6k = 15 + -6k + 6k Combine like terms: -5k + 6k = 1k 10 + 1k = 15 + -6k + 6k Combine like terms: -6k + 6k = 0 10 + 1k = 15 + 0 10 + 1k = 15 Add '-10' to each side of the equation. 10 + -10 + 1k = 15 + -10 Combine like terms: 10 + -10 = 0 0 + 1k = 15 + -10 1k = 15 + -10 Combine like terms: 15 + -10 = 5 1k = 5 Divide each side by '1'. k = 5 Simplifying k = 5
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