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18x^{2}-24x+24-5\left(3x^{2}-2x+3\right)
Use the distributive property to multiply 6 by 3x^{2}-4x+4.
18x^{2}-24x+24-15x^{2}+10x-15
Use the distributive property to multiply -5 by 3x^{2}-2x+3.
3x^{2}-24x+24+10x-15
Combine 18x^{2} and -15x^{2} to get 3x^{2}.
3x^{2}-14x+24-15
Combine -24x and 10x to get -14x.
3x^{2}-14x+9
Subtract 15 from 24 to get 9.
18x^{2}-24x+24-5\left(3x^{2}-2x+3\right)
Use the distributive property to multiply 6 by 3x^{2}-4x+4.
18x^{2}-24x+24-15x^{2}+10x-15
Use the distributive property to multiply -5 by 3x^{2}-2x+3.
3x^{2}-24x+24+10x-15
Combine 18x^{2} and -15x^{2} to get 3x^{2}.
3x^{2}-14x+24-15
Combine -24x and 10x to get -14x.
3x^{2}-14x+9
Subtract 15 from 24 to get 9.