Solve for t
t=192
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32t+16t+8t+4t+2t+t=12096
Multiply both sides of the equation by 32, the least common multiple of 2,4,8,16,32.
48t+8t+4t+2t+t=12096
Combine 32t and 16t to get 48t.
56t+4t+2t+t=12096
Combine 48t and 8t to get 56t.
60t+2t+t=12096
Combine 56t and 4t to get 60t.
62t+t=12096
Combine 60t and 2t to get 62t.
63t=12096
Combine 62t and t to get 63t.
t=\frac{12096}{63}
Divide both sides by 63.
t=192
Divide 12096 by 63 to get 192.
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