Solve for k
k=\frac{69}{2}-w
Solve for w
w=\frac{69}{2}-k
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85=2k+8+2\left(w+4\right)
Use the distributive property to multiply 2 by k+4.
85=2k+8+2w+8
Use the distributive property to multiply 2 by w+4.
85=2k+16+2w
Add 8 and 8 to get 16.
2k+16+2w=85
Swap sides so that all variable terms are on the left hand side.
2k+2w=85-16
Subtract 16 from both sides.
2k+2w=69
Subtract 16 from 85 to get 69.
2k=69-2w
Subtract 2w from both sides.
\frac{2k}{2}=\frac{69-2w}{2}
Divide both sides by 2.
k=\frac{69-2w}{2}
Dividing by 2 undoes the multiplication by 2.
k=\frac{69}{2}-w
Divide 69-2w by 2.
85=2k+8+2\left(w+4\right)
Use the distributive property to multiply 2 by k+4.
85=2k+8+2w+8
Use the distributive property to multiply 2 by w+4.
85=2k+16+2w
Add 8 and 8 to get 16.
2k+16+2w=85
Swap sides so that all variable terms are on the left hand side.
16+2w=85-2k
Subtract 2k from both sides.
2w=85-2k-16
Subtract 16 from both sides.
2w=69-2k
Subtract 16 from 85 to get 69.
\frac{2w}{2}=\frac{69-2k}{2}
Divide both sides by 2.
w=\frac{69-2k}{2}
Dividing by 2 undoes the multiplication by 2.
w=\frac{69}{2}-k
Divide 69-2k by 2.
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