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

Simple and best practice solution for 9(z+1)-2(z-1)=3(z-1)+3(z-2) 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+1)-2(z-1)=3(z-1)+3(z-2) equation:


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

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

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

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

Combine like terms: 9 + 2 = 11
11 + 9z + -2z = 3(z + -1) + 3(z + -2)

Combine like terms: 9z + -2z = 7z
11 + 7z = 3(z + -1) + 3(z + -2)

Reorder the terms:
11 + 7z = 3(-1 + z) + 3(z + -2)
11 + 7z = (-1 * 3 + z * 3) + 3(z + -2)
11 + 7z = (-3 + 3z) + 3(z + -2)

Reorder the terms:
11 + 7z = -3 + 3z + 3(-2 + z)
11 + 7z = -3 + 3z + (-2 * 3 + z * 3)
11 + 7z = -3 + 3z + (-6 + 3z)

Reorder the terms:
11 + 7z = -3 + -6 + 3z + 3z

Combine like terms: -3 + -6 = -9
11 + 7z = -9 + 3z + 3z

Combine like terms: 3z + 3z = 6z
11 + 7z = -9 + 6z

Solving
11 + 7z = -9 + 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.
11 + 7z + -6z = -9 + 6z + -6z

Combine like terms: 7z + -6z = 1z
11 + 1z = -9 + 6z + -6z

Combine like terms: 6z + -6z = 0
11 + 1z = -9 + 0
11 + 1z = -9

Add '-11' to each side of the equation.
11 + -11 + 1z = -9 + -11

Combine like terms: 11 + -11 = 0
0 + 1z = -9 + -11
1z = -9 + -11

Combine like terms: -9 + -11 = -20
1z = -20

Divide each side by '1'.
z = -20

Simplifying
z = -20

See similar equations:

| 250-2/5= | | -4=-8+x | | 5v^2+3v=2 | | 15x+21(x-5)=291 | | -3a+24+6a=a-7a | | 2y^2=-5y-3 | | 6y-7=19y+19 | | 1.14x=-16 | | -2y-13=-1 | | 15x^2-37x+20=0 | | x^2+6x-3240=0 | | 23-(x+6)=7x-7 | | 8y(5y+5)-5y^2=5(5y+5) | | (32.4+x)+(27.7+x)+x=197.5 | | 2(g+5)=g(g+5)+g^2 | | 2t+1+2t-3t=5+2 | | 9y+8=8y-6 | | 4-0.3k=4 | | 5-(6x-26)=7(x-5) | | -16t^2+112t-160=0 | | 0.66x=-6 | | 29=2x-5+4x | | 3(4n+4)-7=3n+19+2n | | 4(x+5)=16(x+2) | | x+40x=40 | | b^2-2b-6=0 | | x^2-17x-308=0 | | 4ln(7x)=32 | | 7-3(x+1)=5x+14-(x+12) | | 7t-t-6=5t-8 | | 18(x)=6(16-x) | | -3(x+2)+4x=12 |

Equations solver categories