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just substitute 2q^2 + 3q as x in k(x) = 8x + 7q

I still dont get it, i wasnt taught this

2q^2 + 3q put it where the x goes.

k(2q^2 + 3q) for k( 2q^+3q) =8x + 7q?

8 x + 7q
8(2q^2+3q) + 7q
~

Do you see 8x? It's the same as 8(x). Put that expression where the x goes.

Do what?

Do the substitution. Put the expression where you see x.