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t=\left(t+8\right)\times 6-48
Variable t cannot be equal to -8 since division by zero is not defined. Multiply both sides of the equation by t+8.
t=6t+48-48
Use the distributive property to multiply t+8 by 6.
t=6t
Subtract 48 from 48 to get 0.
t-6t=0
Subtract 6t from both sides.
-5t=0
Combine t and -6t to get -5t.
t=0
Product of two numbers is equal to 0 if at least one of them is 0. Since -5 is not equal to 0, t must be equal to 0.