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0.5t+0.25(t+16)=-6t+12
We move all terms to the left:
0.5t+0.25(t+16)-(-6t+12)=0
We multiply parentheses
0.5t+0.25t-(-6t+12)+4=0
We get rid of parentheses
0.5t+0.25t+6t-12+4=0
We add all the numbers together, and all the variables
6.75t-8=0
We move all terms containing t to the left, all other terms to the right
6.75t=8
t=8/6.75
t=1+1/5.4
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