Question 174144
I'll do the first three to get you started


# 1





{{{5x+6(x-3)-9=18}}} Start with the given equation.



{{{5x+6x-18-9=18}}} Distribute.



{{{11x-27=18}}} Combine like terms on the left side.



{{{11x=18+27}}} Add {{{27}}} to both sides.



{{{11x=45}}} Combine like terms on the right side.



{{{x=(45)/(11)}}} Divide both sides by {{{11}}} to isolate {{{x}}}.



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Answer:


So the answer is {{{x=45/11}}} which approximates to {{{x=4.091}}}. 




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# 2




{{{10-8a+9-3(a-9)+3=96}}} Start with the given equation.



{{{10-8a+9-3a+27+3=96}}} Distribute.



{{{-11a+49=96}}} Combine like terms on the left side.



{{{-11a=96-49}}} Subtract {{{49}}} from both sides.



{{{-11a=47}}} Combine like terms on the right side.



{{{a=(47)/(-11)}}} Divide both sides by {{{-11}}} to isolate {{{a}}}.



{{{a=-47/11}}} Reduce.



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Answer:


So the answer is {{{a=-47/11}}} which approximates to {{{a=-4.273}}}. 




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# 3





{{{9z-6+9=-3z}}} Start with the given equation.



{{{3+9z=-3z}}} Combine like terms on the left side.



{{{9z=-3z-3}}} Subtract {{{3}}} from both sides.



{{{9z+3z=-3}}} Add {{{3z}}} to both sides.



{{{12z=-3}}} Combine like terms on the left side.



{{{z=(-3)/(12)}}} Divide both sides by {{{12}}} to isolate {{{z}}}.



{{{z=-1/4}}} Reduce.



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Answer:


So the answer is {{{z=-1/4}}}