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10\times 3t=t+6
Variable t cannot be equal to -6 since division by zero is not defined. Multiply both sides of the equation by 10\left(t+6\right), the least common multiple of t+6,10.
30t=t+6
Multiply 10 and 3 to get 30.
30t-t=6
Subtract t from both sides.
29t=6
Combine 30t and -t to get 29t.
t=\frac{6}{29}
Divide both sides by 29.