Answer:2. n = 114. g = -26. t = 218. n = 410. y = -1Step-by-step explanation:2. 63 = -3(1 - 2n)Dividing both the side by negative 3 we get [tex]-21=1-2n\\2n=1+21\\2n=22\\n=\frac{22}{2} \\\therefore n=11[/tex]4. -g + 2(3 + g) = -4(g + 1)First we will open the bracket by distributive property A( B +C) = AB + AC[tex]-g+2\times 3 + 2\times g = -4\times g + -4\times 1\\-g+6+ 2g=-4g-4\\\textrm{we will take all the g term the left side and the constant to the right side}\\4g-g+2g=-6-4\\5g=-10\\g=\frac{-10}{5}\\\therefore g=-2[/tex]6.-3(t +5 ) + (4t + 2) = 8Using distributive property A( B +C) = AB + AC we get[tex]-3\times t + -3\times 5 + 4t + 2=8\\-3t-15+ 4t + 2=8\\t=8+15-2\\t=21\\\therefore t=21\\[/tex]8. -8 - n = -3(2n -4)Using distributive property A( B +C) = AB + AC we get[tex]-8 - n = -3\times 2n - -3\times4\\-8-n=-6n+12\\\textrm{all the n terms to the left inside and the constant of the right-hand side}\\6n-n=8+12\\5n=20\\n=\frac{20}{5}\\ \therefore n= 4[/tex]10. -4( 2 - y) + 3y = 3(y - 4)Using distributive property A( B +C) = AB + AC we get[tex]-4\times 2 --4\times y + 3y = 3\times y -3\times 4\\-8+4y+3y =3y-12\\\textrm{all the y terms to the left side and the constant to the right side}\\4y+3y-3y=-12+8\\4y=-4\\y=\frac{-4}{4}\\ \therefore y=-1[/tex]