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5t-30=3t
Multiply both sides of the equation by 15, the least common multiple of 3,5.
5t-30-3t=0
Subtract 3t from both sides.
2t-30=0
Combine 5t and -3t to get 2t.
2t=30
Add 30 to both sides. Anything plus zero gives itself.
t=\frac{30}{2}
Divide both sides by 2.
t=15
Divide 30 by 2 to get 15.