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45+23=\sqrt{23}+23t
Multiply both sides of the equation by 100.
68=\sqrt{23}+23t
Add 45 and 23 to get 68.
\sqrt{23}+23t=68
Swap sides so that all variable terms are on the left hand side.
23t=68-\sqrt{23}
Subtract \sqrt{23} from both sides.
\frac{23t}{23}=\frac{68-\sqrt{23}}{23}
Divide both sides by 23.
t=\frac{68-\sqrt{23}}{23}
Dividing by 23 undoes the multiplication by 23.