Solve for S
S=\frac{40a+120b+6660}{47}
Solve for a
a=\frac{47S}{40}-3b-\frac{333}{2}
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47S=1880+2\left(2390+20a+60b\right)
Multiply both sides of the equation by 188, the least common multiple of 4,94.
47S=1880+4780+40a+120b
Use the distributive property to multiply 2 by 2390+20a+60b.
47S=6660+40a+120b
Add 1880 and 4780 to get 6660.
47S=40a+120b+6660
The equation is in standard form.
\frac{47S}{47}=\frac{40a+120b+6660}{47}
Divide both sides by 47.
S=\frac{40a+120b+6660}{47}
Dividing by 47 undoes the multiplication by 47.
47S=1880+2\left(2390+20a+60b\right)
Multiply both sides of the equation by 188, the least common multiple of 4,94.
47S=1880+4780+40a+120b
Use the distributive property to multiply 2 by 2390+20a+60b.
47S=6660+40a+120b
Add 1880 and 4780 to get 6660.
6660+40a+120b=47S
Swap sides so that all variable terms are on the left hand side.
40a+120b=47S-6660
Subtract 6660 from both sides.
40a=47S-6660-120b
Subtract 120b from both sides.
40a=47S-120b-6660
The equation is in standard form.
\frac{40a}{40}=\frac{47S-120b-6660}{40}
Divide both sides by 40.
a=\frac{47S-120b-6660}{40}
Dividing by 40 undoes the multiplication by 40.
a=\frac{47S}{40}-3b-\frac{333}{2}
Divide 47S-6660-120b by 40.
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