Question 207575
I'll do the first two to get you going.


# 1



{{{5(6-4v)=v+21}}} Start with the given equation.



{{{30-20v=v+21}}} Distribute.



{{{-20v=v+21-30}}} Subtract {{{30}}} from both sides.



{{{-20v-v=21-30}}} Subtract {{{v}}} from both sides.



{{{-21v=21-30}}} Combine like terms on the left side.



{{{-21v=-9}}} Combine like terms on the right side.



{{{v=(-9)/(-21)}}} Divide both sides by {{{-21}}} to isolate {{{v}}}.



{{{v=3/7}}} Reduce.



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Answer:


So the solution is {{{v=3/7}}} which approximates to {{{v=0.429}}}. 



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# 2



{{{6x-5=7-9x}}} Start with the given equation.



{{{6x=7-9x+5}}} Add {{{5}}} to both sides.



{{{6x+9x=7+5}}} Add {{{9x}}} to both sides.



{{{15x=7+5}}} Combine like terms on the left side.



{{{15x=12}}} Combine like terms on the right side.



{{{x=(12)/(15)}}} Divide both sides by {{{15}}} to isolate {{{x}}}.



{{{x=4/5}}} Reduce.



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Answer:


So the solution is {{{x=4/5}}} which in decimal form is {{{x=0.8}}}.