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

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

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

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

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

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

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

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

Reorder the terms:
37 + 7z = 3(-2 + z) + 3(z + -2)
37 + 7z = (-2 * 3 + z * 3) + 3(z + -2)
37 + 7z = (-6 + 3z) + 3(z + -2)

Reorder the terms:
37 + 7z = -6 + 3z + 3(-2 + z)
37 + 7z = -6 + 3z + (-2 * 3 + z * 3)
37 + 7z = -6 + 3z + (-6 + 3z)

Reorder the terms:
37 + 7z = -6 + -6 + 3z + 3z

Combine like terms: -6 + -6 = -12
37 + 7z = -12 + 3z + 3z

Combine like terms: 3z + 3z = 6z
37 + 7z = -12 + 6z

Solving
37 + 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.
37 + 7z + -6z = -12 + 6z + -6z

Combine like terms: 7z + -6z = 1z
37 + 1z = -12 + 6z + -6z

Combine like terms: 6z + -6z = 0
37 + 1z = -12 + 0
37 + 1z = -12

Add '-37' to each side of the equation.
37 + -37 + 1z = -12 + -37

Combine like terms: 37 + -37 = 0
0 + 1z = -12 + -37
1z = -12 + -37

Combine like terms: -12 + -37 = -49
1z = -49

Divide each side by '1'.
z = -49

Simplifying
z = -49