Expected value of exponential function given density function

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I am struggling to see the relationship between the left and right side of the equation below:

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$$E(e^{p+q})=e^{(\sigma^2_p/2)+(\sigma^2_q/2)+r}$$

Both "p" and "q" are normally distributed with a mean of zero. I know that you are supposed to show the relationship by the probability density function given a mean and variance, but I do not know how to proceed. Could anyone help me?