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Answer:
a) w=6
b) a=3
c) c=7
Step-by-step explanation:
[tex]3w+6=4w[/tex]
[tex]\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}[/tex]
[tex]3w+6-6=4w-6[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]3w=4w-6[/tex]
[tex]\mathrm{Subtract\:}4w\mathrm{\:from\:both\:sides}[/tex]
[tex]3w-4w=4w-6-4w[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-w=-6[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-1[/tex]
[tex]\frac{-w}{-1}=\frac{-6}{-1}[/tex]
[tex]w=6[/tex]
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[tex]a+18=7a[/tex]
[tex]\mathrm{Subtract\:}18\mathrm{\:from\:both\:sides}[/tex]
[tex]a+18-18=7a-18[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]a=7a-18[/tex]
[tex]\mathrm{Subtract\:}7a\mathrm{\:from\:both\:sides}[/tex]
[tex]a-7a=7a-18-7a[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-6a=-18[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-6[/tex]
[tex]\frac{-6a}{-6}=\frac{-18}{-6}[/tex]
[tex]a=3[/tex]