Question 507719
I'll do the first two to get you started


# 1


{{{8=8v-4(v+8)}}} Start with the given equation.



{{{8=8v-4v-32}}} Distribute.



{{{8=4v-32}}} Combine like terms on the right side.



{{{0=4v-32-8}}} Subtract {{{8}}} from both sides.



{{{-4v=-32-8}}} Subtract {{{4v}}} from both sides.



{{{-4v=-40}}} Combine like terms on the right side.



{{{v=(-40)/(-4)}}} Divide both sides by {{{-4}}} to isolate {{{v}}}.



{{{v=10}}} Reduce.



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Answer:


So the solution is {{{v=10}}} 


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# 2


{{{10(1+3b)=-20}}} Start with the given equation.



{{{10+30b=-20}}} Distribute.



{{{30b=-20-10}}} Subtract {{{10}}} from both sides.



{{{30b=-30}}} Combine like terms on the right side.



{{{b=(-30)/(30)}}} Divide both sides by {{{30}}} to isolate {{{b}}}.



{{{b=-1}}} Reduce.



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Answer:


So the solution is {{{b=-1}}} 


Let me know if you need more help or if you need me to explain a step in more detail.
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Thanks,


Jim