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

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

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

Reorder the terms:
11(4 + z) + -4(z + -2) = 3(z + -1) + 3(z + -3)
(4 * 11 + z * 11) + -4(z + -2) = 3(z + -1) + 3(z + -3)
(44 + 11z) + -4(z + -2) = 3(z + -1) + 3(z + -3)

Reorder the terms:
44 + 11z + -4(-2 + z) = 3(z + -1) + 3(z + -3)
44 + 11z + (-2 * -4 + z * -4) = 3(z + -1) + 3(z + -3)
44 + 11z + (8 + -4z) = 3(z + -1) + 3(z + -3)

Reorder the terms:
44 + 8 + 11z + -4z = 3(z + -1) + 3(z + -3)

Combine like terms: 44 + 8 = 52
52 + 11z + -4z = 3(z + -1) + 3(z + -3)

Combine like terms: 11z + -4z = 7z
52 + 7z = 3(z + -1) + 3(z + -3)

Reorder the terms:
52 + 7z = 3(-1 + z) + 3(z + -3)
52 + 7z = (-1 * 3 + z * 3) + 3(z + -3)
52 + 7z = (-3 + 3z) + 3(z + -3)

Reorder the terms:
52 + 7z = -3 + 3z + 3(-3 + z)
52 + 7z = -3 + 3z + (-3 * 3 + z * 3)
52 + 7z = -3 + 3z + (-9 + 3z)

Reorder the terms:
52 + 7z = -3 + -9 + 3z + 3z

Combine like terms: -3 + -9 = -12
52 + 7z = -12 + 3z + 3z

Combine like terms: 3z + 3z = 6z
52 + 7z = -12 + 6z

Solving
52 + 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.
52 + 7z + -6z = -12 + 6z + -6z

Combine like terms: 7z + -6z = 1z
52 + 1z = -12 + 6z + -6z

Combine like terms: 6z + -6z = 0
52 + 1z = -12 + 0
52 + 1z = -12

Add '-52' to each side of the equation.
52 + -52 + 1z = -12 + -52

Combine like terms: 52 + -52 = 0
0 + 1z = -12 + -52
1z = -12 + -52

Combine like terms: -12 + -52 = -64
1z = -64

Divide each side by '1'.
z = -64

Simplifying
z = -64