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42t-18+4t=5\left(t+1\right)
Use the distributive property to multiply 6 by 7t-3.
46t-18=5\left(t+1\right)
Combine 42t and 4t to get 46t.
46t-18=5t+5
Use the distributive property to multiply 5 by t+1.
46t-18-5t=5
Subtract 5t from both sides.
41t-18=5
Combine 46t and -5t to get 41t.
41t=5+18
Add 18 to both sides.
41t=23
Add 5 and 18 to get 23.
t=\frac{23}{41}
Divide both sides by 41.