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Simplifying 7k + 7(3k + -8) = -252 Reorder the terms: 7k + 7(-8 + 3k) = -252 7k + (-8 * 7 + 3k * 7) = -252 7k + (-56 + 21k) = -252 Reorder the terms: -56 + 7k + 21k = -252 Combine like terms: 7k + 21k = 28k -56 + 28k = -252 Solving -56 + 28k = -252 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + 28k = -252 + 56 Combine like terms: -56 + 56 = 0 0 + 28k = -252 + 56 28k = -252 + 56 Combine like terms: -252 + 56 = -196 28k = -196 Divide each side by '28'. k = -7 Simplifying k = -7
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