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Simplifying 4(5a + 3) + -9a = 3(a + -1) + 31 Reorder the terms: 4(3 + 5a) + -9a = 3(a + -1) + 31 (3 * 4 + 5a * 4) + -9a = 3(a + -1) + 31 (12 + 20a) + -9a = 3(a + -1) + 31 Combine like terms: 20a + -9a = 11a 12 + 11a = 3(a + -1) + 31 Reorder the terms: 12 + 11a = 3(-1 + a) + 31 12 + 11a = (-1 * 3 + a * 3) + 31 12 + 11a = (-3 + 3a) + 31 Reorder the terms: 12 + 11a = -3 + 31 + 3a Combine like terms: -3 + 31 = 28 12 + 11a = 28 + 3a Solving 12 + 11a = 28 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 12 + 11a + -3a = 28 + 3a + -3a Combine like terms: 11a + -3a = 8a 12 + 8a = 28 + 3a + -3a Combine like terms: 3a + -3a = 0 12 + 8a = 28 + 0 12 + 8a = 28 Add '-12' to each side of the equation. 12 + -12 + 8a = 28 + -12 Combine like terms: 12 + -12 = 0 0 + 8a = 28 + -12 8a = 28 + -12 Combine like terms: 28 + -12 = 16 8a = 16 Divide each side by '8'. a = 2 Simplifying a = 2
| x-11=3x+31 | | 4(n+7)+9=73 | | -6+13p-14p=-19-2p | | Z+22=15 | | -2(n-3)=12 | | 2t-4=8t | | 12y=-56 | | -5x/10 | | -5v+16-10v=-16-17v | | -(9+11a)+2(6a+11)=1-10a+12a | | 12.5=4.5+(10.5-4.5)x | | 5(-4x-1)=-85 | | 7c=38 | | -20r+r+12=-16r-12 | | (3x+1)+(4x-16)=180 | | 176=2x^2+14x+20 | | f(x)=25(1.11)x | | 16=7y-9y | | 3h-2(4h-5)=20-5h | | 2x-11=2x+31 | | 6-6d=-1-8d-11 | | 9-x+50x=156 | | 10x^2=27x-16 | | (12)x+1= | | -5=1/2x= | | 16t+20=-20+20t | | 1.5n=225 | | -4(-5+8x)=-2(8+10x) | | (9b-8)-4(2b+2)=-3 | | f(x)=2x^4+14x^3-35x^2 | | 2y=19-17y | | 3y+16+y=36 |