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2x^{2}-6x+14-3\left(2x^{2}+7x-8\right)
Use the distributive property to multiply 2 by x^{2}-3x+7.
2x^{2}-6x+14-6x^{2}-21x+24
Use the distributive property to multiply -3 by 2x^{2}+7x-8.
-4x^{2}-6x+14-21x+24
Combine 2x^{2} and -6x^{2} to get -4x^{2}.
-4x^{2}-27x+14+24
Combine -6x and -21x to get -27x.
-4x^{2}-27x+38
Add 14 and 24 to get 38.
2x^{2}-6x+14-3\left(2x^{2}+7x-8\right)
Use the distributive property to multiply 2 by x^{2}-3x+7.
2x^{2}-6x+14-6x^{2}-21x+24
Use the distributive property to multiply -3 by 2x^{2}+7x-8.
-4x^{2}-6x+14-21x+24
Combine 2x^{2} and -6x^{2} to get -4x^{2}.
-4x^{2}-27x+14+24
Combine -6x and -21x to get -27x.
-4x^{2}-27x+38
Add 14 and 24 to get 38.