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9\times 10=5\left(T-32\right)
Multiply both sides of the equation by 45, the least common multiple of 5,9.
90=5\left(T-32\right)
Multiply 9 and 10 to get 90.
90=5T-160
Use the distributive property to multiply 5 by T-32.
5T-160=90
Swap sides so that all variable terms are on the left hand side.
5T=90+160
Add 160 to both sides.
5T=250
Add 90 and 160 to get 250.
T=\frac{250}{5}
Divide both sides by 5.
T=50
Divide 250 by 5 to get 50.