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8+12x-6x-9x^{2}-2\left(1-2x\right)\left(3x-4\right)
Apply the distributive property by multiplying each term of 4-3x by each term of 2+3x.
8+6x-9x^{2}-2\left(1-2x\right)\left(3x-4\right)
Combine 12x and -6x to get 6x.
8+6x-9x^{2}+\left(-2+4x\right)\left(3x-4\right)
Use the distributive property to multiply -2 by 1-2x.
8+6x-9x^{2}-6x+8+12x^{2}-16x
Apply the distributive property by multiplying each term of -2+4x by each term of 3x-4.
8+6x-9x^{2}-22x+8+12x^{2}
Combine -6x and -16x to get -22x.
8-16x-9x^{2}+8+12x^{2}
Combine 6x and -22x to get -16x.
16-16x-9x^{2}+12x^{2}
Add 8 and 8 to get 16.
16-16x+3x^{2}
Combine -9x^{2} and 12x^{2} to get 3x^{2}.
8+12x-6x-9x^{2}-2\left(1-2x\right)\left(3x-4\right)
Apply the distributive property by multiplying each term of 4-3x by each term of 2+3x.
8+6x-9x^{2}-2\left(1-2x\right)\left(3x-4\right)
Combine 12x and -6x to get 6x.
8+6x-9x^{2}+\left(-2+4x\right)\left(3x-4\right)
Use the distributive property to multiply -2 by 1-2x.
8+6x-9x^{2}-6x+8+12x^{2}-16x
Apply the distributive property by multiplying each term of -2+4x by each term of 3x-4.
8+6x-9x^{2}-22x+8+12x^{2}
Combine -6x and -16x to get -22x.
8-16x-9x^{2}+8+12x^{2}
Combine 6x and -22x to get -16x.
16-16x-9x^{2}+12x^{2}
Add 8 and 8 to get 16.
16-16x+3x^{2}
Combine -9x^{2} and 12x^{2} to get 3x^{2}.