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\left(12.36a+20.6\right)\left(2a-1\right)
Use the distributive property to multiply 4.12 by 3a+5.
24.72a^{2}-12.36a+41.2a-20.6
Apply the distributive property by multiplying each term of 12.36a+20.6 by each term of 2a-1.
24.72a^{2}+28.84a-20.6
Combine -12.36a and 41.2a to get 28.84a.
\left(12.36a+20.6\right)\left(2a-1\right)
Use the distributive property to multiply 4.12 by 3a+5.
24.72a^{2}-12.36a+41.2a-20.6
Apply the distributive property by multiplying each term of 12.36a+20.6 by each term of 2a-1.
24.72a^{2}+28.84a-20.6
Combine -12.36a and 41.2a to get 28.84a.