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Simplifying 3(4z + -1) + -5(z + 7) = 5(z + 1) Reorder the terms: 3(-1 + 4z) + -5(z + 7) = 5(z + 1) (-1 * 3 + 4z * 3) + -5(z + 7) = 5(z + 1) (-3 + 12z) + -5(z + 7) = 5(z + 1) Reorder the terms: -3 + 12z + -5(7 + z) = 5(z + 1) -3 + 12z + (7 * -5 + z * -5) = 5(z + 1) -3 + 12z + (-35 + -5z) = 5(z + 1) Reorder the terms: -3 + -35 + 12z + -5z = 5(z + 1) Combine like terms: -3 + -35 = -38 -38 + 12z + -5z = 5(z + 1) Combine like terms: 12z + -5z = 7z -38 + 7z = 5(z + 1) Reorder the terms: -38 + 7z = 5(1 + z) -38 + 7z = (1 * 5 + z * 5) -38 + 7z = (5 + 5z) Solving -38 + 7z = 5 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -38 + 7z + -5z = 5 + 5z + -5z Combine like terms: 7z + -5z = 2z -38 + 2z = 5 + 5z + -5z Combine like terms: 5z + -5z = 0 -38 + 2z = 5 + 0 -38 + 2z = 5 Add '38' to each side of the equation. -38 + 38 + 2z = 5 + 38 Combine like terms: -38 + 38 = 0 0 + 2z = 5 + 38 2z = 5 + 38 Combine like terms: 5 + 38 = 43 2z = 43 Divide each side by '2'. z = 21.5 Simplifying z = 21.5
| 6(m+2)= | | 5Z=35 | | 3+2(2n+4)-n= | | 1.4+0.5x=0.9 | | 6x+6=2x+38 | | 4m+5m-5=22 | | 2X+5-7X=7-(5X+2) | | 23-x+36=53 | | 5(6x-4)+20= | | -4(1-a)-8=2(a-2) | | x/3+x+1/2= | | 6-6=5n-4n | | x+2-4=5y | | x+14-28+4=176 | | -4(1-9)-8=2(9-2) | | 4a-(5a+3a)= | | 4(c-2)=5(c-8) | | 2(8-n)=22 | | 1=n+2 | | 3/5(x+2)=x-4 | | 4x+9=30 | | p-1=5p-3p-8 | | 45-3x=5+x | | 45-3x=5x | | 3x-16=-38 | | 3x+17=10x-53 | | -x^2+1=-5x^2+5x | | 11c+d+18c+9d= | | -41+13y+7=5(3y-4)-4 | | 165-3x=42x+15 | | 19=8-n | | -8x=208 |