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Simplifying 7k + -7(5k + 7) = -105 Reorder the terms: 7k + -7(7 + 5k) = -105 7k + (7 * -7 + 5k * -7) = -105 7k + (-49 + -35k) = -105 Reorder the terms: -49 + 7k + -35k = -105 Combine like terms: 7k + -35k = -28k -49 + -28k = -105 Solving -49 + -28k = -105 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 = -105 + 49 Combine like terms: -49 + 49 = 0 0 + -28k = -105 + 49 -28k = -105 + 49 Combine like terms: -105 + 49 = -56 -28k = -56 Divide each side by '-28'. k = 2 Simplifying k = 2
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