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2.9v+9.86=-8.2v-6.78+8.5v
We move all terms to the left:
2.9v+9.86-(-8.2v-6.78+8.5v)=0
We add all the numbers together, and all the variables
2.9v-(0.3v-6.78)+9.86=0
We get rid of parentheses
2.9v-0.3v+6.78+9.86=0
We add all the numbers together, and all the variables
2.6v+16.64=0
We move all terms containing v to the left, all other terms to the right
2.6v=-16.64
v=-16.64/2.6
v=-6+1/2.5
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