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b+2=7-4b

We move all terms to the left:

b+2-(7-4b)=0

We add all the numbers together, and all the variables

b-(-4b+7)+2=0

We get rid of parentheses

b+4b-7+2=0

We add all the numbers together, and all the variables

5b-5=0

We move all terms containing b to the left, all other terms to the right

5b=5

b=5/5

b=1

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