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Simplifying 5k + -1(2 + k) = -1(7k + 2) 5k + (2 * -1 + k * -1) = -1(7k + 2) 5k + (-2 + -1k) = -1(7k + 2) Reorder the terms: -2 + 5k + -1k = -1(7k + 2) Combine like terms: 5k + -1k = 4k -2 + 4k = -1(7k + 2) Reorder the terms: -2 + 4k = -1(2 + 7k) -2 + 4k = (2 * -1 + 7k * -1) -2 + 4k = (-2 + -7k) Add '2' to each side of the equation. -2 + 2 + 4k = -2 + 2 + -7k Combine like terms: -2 + 2 = 0 0 + 4k = -2 + 2 + -7k 4k = -2 + 2 + -7k Combine like terms: -2 + 2 = 0 4k = 0 + -7k 4k = -7k Solving 4k = -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. 4k + 7k = -7k + 7k Combine like terms: 4k + 7k = 11k 11k = -7k + 7k Combine like terms: -7k + 7k = 0 11k = 0 Divide each side by '11'. k = 0 Simplifying k = 0
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