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Simplifying 21 = 1 + -3k + -7k Combine like terms: -3k + -7k = -10k 21 = 1 + -10k Solving 21 = 1 + -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. 21 + 10k = 1 + -10k + 10k Combine like terms: -10k + 10k = 0 21 + 10k = 1 + 0 21 + 10k = 1 Add '-21' to each side of the equation. 21 + -21 + 10k = 1 + -21 Combine like terms: 21 + -21 = 0 0 + 10k = 1 + -21 10k = 1 + -21 Combine like terms: 1 + -21 = -20 10k = -20 Divide each side by '10'. k = -2 Simplifying k = -2
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