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Simplifying -7(k + -7) = 39 + 3k Reorder the terms: -7(-7 + k) = 39 + 3k (-7 * -7 + k * -7) = 39 + 3k (49 + -7k) = 39 + 3k Solving 49 + -7k = 39 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 49 + -7k + -3k = 39 + 3k + -3k Combine like terms: -7k + -3k = -10k 49 + -10k = 39 + 3k + -3k Combine like terms: 3k + -3k = 0 49 + -10k = 39 + 0 49 + -10k = 39 Add '-49' to each side of the equation. 49 + -49 + -10k = 39 + -49 Combine like terms: 49 + -49 = 0 0 + -10k = 39 + -49 -10k = 39 + -49 Combine like terms: 39 + -49 = -10 -10k = -10 Divide each side by '-10'. k = 1 Simplifying k = 1
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