Let f:R-R be defined asf(x)=ae2x+bex+cx.If f(0)=-1,f’(log2)=21,integration from0to log4 (f(x) -cx)dx

Let f:R-R be defined as f(x)=ae2x +bex +cx. If f(0)=-1,f’(log2)=21, integration from 0to log4 (f(x) -cx)dx=39/2, then the value of |a+b+c|=
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