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45\times 6=t\times 27
Variable t cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 45t, the least common multiple of t,45.
270=t\times 27
Multiply 45 and 6 to get 270.
t\times 27=270
Swap sides so that all variable terms are on the left hand side.
t=\frac{270}{27}
Divide both sides by 27.
t=10
Divide 270 by 27 to get 10.