Question 156160
I'll do the first three to get you started


# 1




{{{11+g+4-9=30}}} Start with the given equation.



{{{g+6=30}}} Combine like terms on the left side.



{{{g=30-6}}} Subtract {{{6}}} from both sides.



{{{g=24}}} Combine like terms on the right side.



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Answer:


So the answer is {{{g=24}}} 




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# 2




{{{11+4m=4m+8}}} Start with the given equation.



{{{4m=4m+8-11}}} Subtract {{{11}}} from both sides.



{{{4m-4m=8-11}}} Subtract {{{4m}}} from both sides.



{{{0m=8-11}}} Combine like terms on the left side.



{{{0m=-3}}} Combine like terms on the right side.



{{{0=-3}}} Simplify.



Since this equation is <font size=4><b>never</b></font> true for any m value, this means that there are no solutions. So the equation is inconsistent.



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# 3




{{{6a=2(4-a)}}} Start with the given equation.



{{{6a=8-2a}}} Distribute.



{{{6a+2a=8}}} Add {{{2a}}} to both sides.



{{{8a=8}}} Combine like terms on the left side.



{{{a=(8)/(8)}}} Divide both sides by {{{8}}} to isolate {{{a}}}.



{{{a=1}}} Reduce.



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Answer:


So the answer is {{{a=1}}}