Solve for k
k\geq -10
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14k+44+83k\leq 100k+74
Use the distributive property to multiply -2 by -7k-22.
97k+44\leq 100k+74
Combine 14k and 83k to get 97k.
97k+44-100k\leq 74
Subtract 100k from both sides.
-3k+44\leq 74
Combine 97k and -100k to get -3k.
-3k\leq 74-44
Subtract 44 from both sides.
-3k\leq 30
Subtract 44 from 74 to get 30.
k\geq \frac{30}{-3}
Divide both sides by -3. Since -3 is negative, the inequality direction is changed.
k\geq -10
Divide 30 by -3 to get -10.
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