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Simplifying 5k = -2(21 + k) 5k = (21 * -2 + k * -2) 5k = (-42 + -2k) Solving 5k = -42 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 5k + 2k = -42 + -2k + 2k Combine like terms: 5k + 2k = 7k 7k = -42 + -2k + 2k Combine like terms: -2k + 2k = 0 7k = -42 + 0 7k = -42 Divide each side by '7'. k = -6 Simplifying k = -6
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