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Simplifying 7 + 3(6 + -1k) + -7 = 39 7 + (6 * 3 + -1k * 3) + -7 = 39 7 + (18 + -3k) + -7 = 39 Reorder the terms: 7 + 18 + -7 + -3k = 39 Combine like terms: 7 + 18 = 25 25 + -7 + -3k = 39 Combine like terms: 25 + -7 = 18 18 + -3k = 39 Solving 18 + -3k = 39 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -3k = 39 + -18 Combine like terms: 18 + -18 = 0 0 + -3k = 39 + -18 -3k = 39 + -18 Combine like terms: 39 + -18 = 21 -3k = 21 Divide each side by '-3'. k = -7 Simplifying k = -7
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