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\left(6x^{2}+9x-8x-12\right)\times 4
Apply the distributive property by multiplying each term of 3x-4 by each term of 2x+3.
\left(6x^{2}+x-12\right)\times 4
Combine 9x and -8x to get x.
24x^{2}+4x-48
Use the distributive property to multiply 6x^{2}+x-12 by 4.
\left(6x^{2}+9x-8x-12\right)\times 4
Apply the distributive property by multiplying each term of 3x-4 by each term of 2x+3.
\left(6x^{2}+x-12\right)\times 4
Combine 9x and -8x to get x.
24x^{2}+4x-48
Use the distributive property to multiply 6x^{2}+x-12 by 4.