11(z+2)-4(z-1)=2(z-4)+4(z-1)

Solution for 11(z+2)-4(z-1)=2(z-4)+4(z-1) equation:

Simplifying
11(z + 2) + -4(z + -1) = 2(z + -4) + 4(z + -1)

Reorder the terms:
11(2 + z) + -4(z + -1) = 2(z + -4) + 4(z + -1)
(2 * 11 + z * 11) + -4(z + -1) = 2(z + -4) + 4(z + -1)
(22 + 11z) + -4(z + -1) = 2(z + -4) + 4(z + -1)

Reorder the terms:
22 + 11z + -4(-1 + z) = 2(z + -4) + 4(z + -1)
22 + 11z + (-1 * -4 + z * -4) = 2(z + -4) + 4(z + -1)
22 + 11z + (4 + -4z) = 2(z + -4) + 4(z + -1)

Reorder the terms:
22 + 4 + 11z + -4z = 2(z + -4) + 4(z + -1)

Combine like terms: 22 + 4 = 26
26 + 11z + -4z = 2(z + -4) + 4(z + -1)

Combine like terms: 11z + -4z = 7z
26 + 7z = 2(z + -4) + 4(z + -1)

Reorder the terms:
26 + 7z = 2(-4 + z) + 4(z + -1)
26 + 7z = (-4 * 2 + z * 2) + 4(z + -1)
26 + 7z = (-8 + 2z) + 4(z + -1)

Reorder the terms:
26 + 7z = -8 + 2z + 4(-1 + z)
26 + 7z = -8 + 2z + (-1 * 4 + z * 4)
26 + 7z = -8 + 2z + (-4 + 4z)

Reorder the terms:
26 + 7z = -8 + -4 + 2z + 4z

Combine like terms: -8 + -4 = -12
26 + 7z = -12 + 2z + 4z

Combine like terms: 2z + 4z = 6z
26 + 7z = -12 + 6z

Solving
26 + 7z = -12 + 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.
26 + 7z + -6z = -12 + 6z + -6z

Combine like terms: 7z + -6z = 1z
26 + 1z = -12 + 6z + -6z

Combine like terms: 6z + -6z = 0
26 + 1z = -12 + 0
26 + 1z = -12

Add '-26' to each side of the equation.
26 + -26 + 1z = -12 + -26

Combine like terms: 26 + -26 = 0
0 + 1z = -12 + -26
1z = -12 + -26

Combine like terms: -12 + -26 = -38
1z = -38

Divide each side by '1'.
z = -38

Simplifying
z = -38