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Simplifying 7k + -1(2 + k) = -1(5k + 2) 7k + (2 * -1 + k * -1) = -1(5k + 2) 7k + (-2 + -1k) = -1(5k + 2) Reorder the terms: -2 + 7k + -1k = -1(5k + 2) Combine like terms: 7k + -1k = 6k -2 + 6k = -1(5k + 2) Reorder the terms: -2 + 6k = -1(2 + 5k) -2 + 6k = (2 * -1 + 5k * -1) -2 + 6k = (-2 + -5k) Add '2' to each side of the equation. -2 + 2 + 6k = -2 + 2 + -5k Combine like terms: -2 + 2 = 0 0 + 6k = -2 + 2 + -5k 6k = -2 + 2 + -5k Combine like terms: -2 + 2 = 0 6k = 0 + -5k 6k = -5k Solving 6k = -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. 6k + 5k = -5k + 5k Combine like terms: 6k + 5k = 11k 11k = -5k + 5k Combine like terms: -5k + 5k = 0 11k = 0 Divide each side by '11'. k = 0 Simplifying k = 0
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