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Simplifying 3(7 + -2k) = 17 + -8k (7 * 3 + -2k * 3) = 17 + -8k (21 + -6k) = 17 + -8k Solving 21 + -6k = 17 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 21 + -6k + 8k = 17 + -8k + 8k Combine like terms: -6k + 8k = 2k 21 + 2k = 17 + -8k + 8k Combine like terms: -8k + 8k = 0 21 + 2k = 17 + 0 21 + 2k = 17 Add '-21' to each side of the equation. 21 + -21 + 2k = 17 + -21 Combine like terms: 21 + -21 = 0 0 + 2k = 17 + -21 2k = 17 + -21 Combine like terms: 17 + -21 = -4 2k = -4 Divide each side by '2'. k = -2 Simplifying k = -2
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