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

Solution for 11(z+3)-4(z-1)=2(z-1)+4(z-3) equation:

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

Reorder the terms:
11(3 + z) + -4(z + -1) = 2(z + -1) + 4(z + -3)
(3 * 11 + z * 11) + -4(z + -1) = 2(z + -1) + 4(z + -3)
(33 + 11z) + -4(z + -1) = 2(z + -1) + 4(z + -3)

Reorder the terms:
33 + 11z + -4(-1 + z) = 2(z + -1) + 4(z + -3)
33 + 11z + (-1 * -4 + z * -4) = 2(z + -1) + 4(z + -3)
33 + 11z + (4 + -4z) = 2(z + -1) + 4(z + -3)

Reorder the terms:
33 + 4 + 11z + -4z = 2(z + -1) + 4(z + -3)

Combine like terms: 33 + 4 = 37
37 + 11z + -4z = 2(z + -1) + 4(z + -3)

Combine like terms: 11z + -4z = 7z
37 + 7z = 2(z + -1) + 4(z + -3)

Reorder the terms:
37 + 7z = 2(-1 + z) + 4(z + -3)
37 + 7z = (-1 * 2 + z * 2) + 4(z + -3)
37 + 7z = (-2 + 2z) + 4(z + -3)

Reorder the terms:
37 + 7z = -2 + 2z + 4(-3 + z)
37 + 7z = -2 + 2z + (-3 * 4 + z * 4)
37 + 7z = -2 + 2z + (-12 + 4z)

Reorder the terms:
37 + 7z = -2 + -12 + 2z + 4z

Combine like terms: -2 + -12 = -14
37 + 7z = -14 + 2z + 4z

Combine like terms: 2z + 4z = 6z
37 + 7z = -14 + 6z

Solving
37 + 7z = -14 + 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.
37 + 7z + -6z = -14 + 6z + -6z

Combine like terms: 7z + -6z = 1z
37 + 1z = -14 + 6z + -6z

Combine like terms: 6z + -6z = 0
37 + 1z = -14 + 0
37 + 1z = -14

Add '-37' to each side of the equation.
37 + -37 + 1z = -14 + -37

Combine like terms: 37 + -37 = 0
0 + 1z = -14 + -37
1z = -14 + -37

Combine like terms: -14 + -37 = -51
1z = -51

Divide each side by '1'.
z = -51

Simplifying
z = -51