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Simplifying -7k + 7(7 + -3k) = 192 -7k + (7 * 7 + -3k * 7) = 192 -7k + (49 + -21k) = 192 Reorder the terms: 49 + -7k + -21k = 192 Combine like terms: -7k + -21k = -28k 49 + -28k = 192 Solving 49 + -28k = 192 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -28k = 192 + -49 Combine like terms: 49 + -49 = 0 0 + -28k = 192 + -49 -28k = 192 + -49 Combine like terms: 192 + -49 = 143 -28k = 143 Divide each side by '-28'. k = -5.107142857 Simplifying k = -5.107142857
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