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-\frac{4}{3}\times 15x-\frac{4}{3}\times 30+5
Use the distributive property to multiply -\frac{4}{3} by 15x+30.
\frac{-4\times 15}{3}x-\frac{4}{3}\times 30+5
Express -\frac{4}{3}\times 15 as a single fraction.
\frac{-60}{3}x-\frac{4}{3}\times 30+5
Multiply -4 and 15 to get -60.
-20x-\frac{4}{3}\times 30+5
Divide -60 by 3 to get -20.
-20x+\frac{-4\times 30}{3}+5
Express -\frac{4}{3}\times 30 as a single fraction.
-20x+\frac{-120}{3}+5
Multiply -4 and 30 to get -120.
-20x-40+5
Divide -120 by 3 to get -40.
-20x-35
Add -40 and 5 to get -35.
-\frac{4}{3}\times 15x-\frac{4}{3}\times 30+5
Use the distributive property to multiply -\frac{4}{3} by 15x+30.
\frac{-4\times 15}{3}x-\frac{4}{3}\times 30+5
Express -\frac{4}{3}\times 15 as a single fraction.
\frac{-60}{3}x-\frac{4}{3}\times 30+5
Multiply -4 and 15 to get -60.
-20x-\frac{4}{3}\times 30+5
Divide -60 by 3 to get -20.
-20x+\frac{-4\times 30}{3}+5
Express -\frac{4}{3}\times 30 as a single fraction.
-20x+\frac{-120}{3}+5
Multiply -4 and 30 to get -120.
-20x-40+5
Divide -120 by 3 to get -40.
-20x-35
Add -40 and 5 to get -35.