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(3t - 1 - 2(t+3) )/ 16 = (3t - 1 + 2( 2t- 3) )/ 14

(3t -1 - 2t - 6) /16 = (3t -1 + 4t - 6)/ 14

( t - 7) / 16 = (7t - 7) 14

(t - 7) / 16 = t - 1

t - 7 = 16t - 16

16t -t = -7 + 16

15t = 9

t = 9 /15

t = 3 /5

lcm of 16,7,8 and 14 is=112

multiply each term by 112

(3t+1)/16*112-(2t-3)7*112=(t+3)/8*112+(3t-1)/14*112

(3t+1)*7-(2t-3)16=(t+3)*14+(3t-1)*8

21t+7-32t+48=14t+42+24t-8

21t-32t-14t-24t=42-8-7-48

21t-70t=42-63

-49t=-21

t=21/49