Solve for k
k=\frac{5}{7}\approx 0.714285714
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3\left(3k+1\right)-2\left(k+1\right)=6
Multiply both sides of the equation by 6, the least common multiple of 2,3.
9k+3-2\left(k+1\right)=6
Use the distributive property to multiply 3 by 3k+1.
9k+3-2k-2=6
Use the distributive property to multiply -2 by k+1.
7k+3-2=6
Combine 9k and -2k to get 7k.
7k+1=6
Subtract 2 from 3 to get 1.
7k=6-1
Subtract 1 from both sides.
7k=5
Subtract 1 from 6 to get 5.
k=\frac{5}{7}
Divide both sides by 7.
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