Solve for w
w=312500S+78.125
Solve for S
S=\frac{w}{312500}-0.00025
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S=0.0000032w-0.00025
Divide each term of 0.032w-2.5 by 10000 to get 0.0000032w-0.00025.
0.0000032w-0.00025=S
Swap sides so that all variable terms are on the left hand side.
0.0000032w=S+0.00025
Add 0.00025 to both sides.
\frac{0.0000032w}{0.0000032}=\frac{S+0.00025}{0.0000032}
Multiply both sides by 312500.
w=\frac{S+0.00025}{0.0000032}
Dividing by 0.0000032 undoes the multiplication by 0.0000032.
w=312500S+78.125
Divide S+0.00025 by 0.0000032 by multiplying S+0.00025 by the reciprocal of 0.0000032.
S=0.0000032w-0.00025
Divide each term of 0.032w-2.5 by 10000 to get 0.0000032w-0.00025.
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