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Simplifying -3(1 + 4n) + -8(1 + -1n) = 7 + -4n + -8 + -1n (1 * -3 + 4n * -3) + -8(1 + -1n) = 7 + -4n + -8 + -1n (-3 + -12n) + -8(1 + -1n) = 7 + -4n + -8 + -1n -3 + -12n + (1 * -8 + -1n * -8) = 7 + -4n + -8 + -1n -3 + -12n + (-8 + 8n) = 7 + -4n + -8 + -1n Reorder the terms: -3 + -8 + -12n + 8n = 7 + -4n + -8 + -1n Combine like terms: -3 + -8 = -11 -11 + -12n + 8n = 7 + -4n + -8 + -1n Combine like terms: -12n + 8n = -4n -11 + -4n = 7 + -4n + -8 + -1n Reorder the terms: -11 + -4n = 7 + -8 + -4n + -1n Combine like terms: 7 + -8 = -1 -11 + -4n = -1 + -4n + -1n Combine like terms: -4n + -1n = -5n -11 + -4n = -1 + -5n Solving -11 + -4n = -1 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -11 + -4n + 5n = -1 + -5n + 5n Combine like terms: -4n + 5n = 1n -11 + 1n = -1 + -5n + 5n Combine like terms: -5n + 5n = 0 -11 + 1n = -1 + 0 -11 + 1n = -1 Add '11' to each side of the equation. -11 + 11 + 1n = -1 + 11 Combine like terms: -11 + 11 = 0 0 + 1n = -1 + 11 1n = -1 + 11 Combine like terms: -1 + 11 = 10 1n = 10 Divide each side by '1'. n = 10 Simplifying n = 10
| 11+3x=6(x-3) | | 20+10=2x-9 | | 1.5x+10=2x+10 | | 3n+2n=12 | | -11+6z+12z-11= | | 16x+18=146-4x | | 3s-47=2s-48 | | -3(2)+6= | | 4x+x=9x+7 | | 11=3r-23+3r | | 3s-47=2s-48-48 | | Y-1=-3(x+5) | | 42x=8 | | 2x+5x=14-7 | | f(x)=-x^2+13x-30 | | B+30x=180 | | y+11=30 | | (2y-1)+x=63 | | 2x+x+1=3x-3 | | 1.5x=6+0.3x | | -3y+27= | | 4y-4x+2y= | | (2y-1)+y=63 | | logb(x)+logb(x-4)=logb(21) | | -1.6=-5 | | -10m-11= | | 1=N+4 | | 54+0.09x=38+0.13x | | 2z+31=9z-25 | | 21z-16= | | 4y^2-y+6=0 | | 2z-31=-9z-25 |