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To find g(-3), we need to substitute -3 into the expression 2x + 5 in g(2x + 5).
Therefore, we have g(-3) = 4(-3)^2 - 3(-3) + 2.
Simplifying this expression, we get g(-3) = 4(9) + 9 + 2 = 36 + 9 + 2 = 47.
Therefore, g(-3) = 47.