9(z+3)-2(z-1)=3(z-4)+3(z-4)

Simple and best practice solution for 9(z+3)-2(z-1)=3(z-4)+3(z-4) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 9(z+3)-2(z-1)=3(z-4)+3(z-4) equation: 


Simplifying
9(z + 3) + -2(z + -1) = 3(z + -4) + 3(z + -4)

Reorder the terms:
9(3 + z) + -2(z + -1) = 3(z + -4) + 3(z + -4)
(3 * 9 + z * 9) + -2(z + -1) = 3(z + -4) + 3(z + -4)
(27 + 9z) + -2(z + -1) = 3(z + -4) + 3(z + -4)

Reorder the terms:
27 + 9z + -2(-1 + z) = 3(z + -4) + 3(z + -4)
27 + 9z + (-1 * -2 + z * -2) = 3(z + -4) + 3(z + -4)
27 + 9z + (2 + -2z) = 3(z + -4) + 3(z + -4)

Reorder the terms:
27 + 2 + 9z + -2z = 3(z + -4) + 3(z + -4)

Combine like terms: 27 + 2 = 29
29 + 9z + -2z = 3(z + -4) + 3(z + -4)

Combine like terms: 9z + -2z = 7z
29 + 7z = 3(z + -4) + 3(z + -4)

Reorder the terms:
29 + 7z = 3(-4 + z) + 3(z + -4)
29 + 7z = (-4 * 3 + z * 3) + 3(z + -4)
29 + 7z = (-12 + 3z) + 3(z + -4)

Reorder the terms:
29 + 7z = -12 + 3z + 3(-4 + z)
29 + 7z = -12 + 3z + (-4 * 3 + z * 3)
29 + 7z = -12 + 3z + (-12 + 3z)

Reorder the terms:
29 + 7z = -12 + -12 + 3z + 3z

Combine like terms: -12 + -12 = -24
29 + 7z = -24 + 3z + 3z

Combine like terms: 3z + 3z = 6z
29 + 7z = -24 + 6z

Solving
29 + 7z = -24 + 6z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-6z' to each side of the equation.
29 + 7z + -6z = -24 + 6z + -6z

Combine like terms: 7z + -6z = 1z
29 + 1z = -24 + 6z + -6z

Combine like terms: 6z + -6z = 0
29 + 1z = -24 + 0
29 + 1z = -24

Add '-29' to each side of the equation.
29 + -29 + 1z = -24 + -29

Combine like terms: 29 + -29 = 0
0 + 1z = -24 + -29
1z = -24 + -29

Combine like terms: -24 + -29 = -53
1z = -53

Divide each side by '1'.
z = -53

Simplifying
z = -53

See similar equations:

| 24=-3(22-m)+3(m-2) | | 6y+4y=9y-6 | | 6(3x-8)-2=6(x-2)+34 | | 3(x+1)=7(x-1)-14 | | 3/16x64 | | 3x/64-3 | | 4x^2+420x+1700=0 | | (b/17)-(5b/17)=(24/17) | | 3.7d+13.4p+15.8p+2.6d= | | 11x-(2x-7)=61 | | 3x/4/5=81 | | (3+4b)+(9+2y)= | | 2a+4b+7c+9b+3a= | | (5m+9)+(4a+3)= | | m+2.5=0.5m-0.5 | | 3x+5y+2x+11+4x= | | s^3+s^2-4s=4 | | 4.5=y-2.6 | | 2x(3x+2)=4-x | | 5r+2(4-r)=38 | | 4x+3+6X=23 | | -22p-54=p-974 | | 7x+15=2(x-3) | | s-111=3s-29 | | e-396=-27e-4 | | 7y+48=y-246 | | 14u+8=u-525 | | a-357=-6a-7 | | -4=(.5)p-7 | | b-77=7b-5 | | 54=30-4(x-4) | | -9x-6=x-266 |

Equations solver categories