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Simplifying 4(5z + -1) + -5(z + 8) = 13(z + 1) Reorder the terms: 4(-1 + 5z) + -5(z + 8) = 13(z + 1) (-1 * 4 + 5z * 4) + -5(z + 8) = 13(z + 1) (-4 + 20z) + -5(z + 8) = 13(z + 1) Reorder the terms: -4 + 20z + -5(8 + z) = 13(z + 1) -4 + 20z + (8 * -5 + z * -5) = 13(z + 1) -4 + 20z + (-40 + -5z) = 13(z + 1) Reorder the terms: -4 + -40 + 20z + -5z = 13(z + 1) Combine like terms: -4 + -40 = -44 -44 + 20z + -5z = 13(z + 1) Combine like terms: 20z + -5z = 15z -44 + 15z = 13(z + 1) Reorder the terms: -44 + 15z = 13(1 + z) -44 + 15z = (1 * 13 + z * 13) -44 + 15z = (13 + 13z) Solving -44 + 15z = 13 + 13z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-13z' to each side of the equation. -44 + 15z + -13z = 13 + 13z + -13z Combine like terms: 15z + -13z = 2z -44 + 2z = 13 + 13z + -13z Combine like terms: 13z + -13z = 0 -44 + 2z = 13 + 0 -44 + 2z = 13 Add '44' to each side of the equation. -44 + 44 + 2z = 13 + 44 Combine like terms: -44 + 44 = 0 0 + 2z = 13 + 44 2z = 13 + 44 Combine like terms: 13 + 44 = 57 2z = 57 Divide each side by '2'. z = 28.5 Simplifying z = 28.5
| 9p+4=11+4 | | 5(3+2x)-1=54 | | 2(5z-1)-4(z+2)=3(z+1) | | -4(t-8)-(t+5)=9 | | 2+5(x-8)=4-3(x-4) | | 7x+8=-97 | | a(3)=400*-8 | | 63x+21x^2=2730 | | 4r^2-28rs+49s^2=0 | | (5t-4)=2(t+1)+4 | | 21x(x+3)= | | a(r)=4*3.148r^2 | | 9707125468+26764356= | | a(r)=4*3.14r^2 | | d^2-10d+25=0 | | 15y-3=61-y | | 36-42x=6(7x+8) | | x+6y=3 | | 8yards=inches | | 8c/3+1/3=5/6 | | s^4=4 | | -7k+1=43 | | 8b+2c=73.60 | | 2p+1s=79.85 | | 3x^2+42x-19= | | (3z+5)*(7z+4)=21z^2+47z+20 | | (3z+5)*(7z+4)= | | 5x(z+13)+(z+13)= | | 36t^3-81t=0 | | 10+-17= | | ln(x)+log(3x-13)=1 | | 10+-8= |