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

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

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

Reorder the terms:
11(2 + z) + -4(z + -3) = 4(z + -4) + 2(z + -2)
(2 * 11 + z * 11) + -4(z + -3) = 4(z + -4) + 2(z + -2)
(22 + 11z) + -4(z + -3) = 4(z + -4) + 2(z + -2)

Reorder the terms:
22 + 11z + -4(-3 + z) = 4(z + -4) + 2(z + -2)
22 + 11z + (-3 * -4 + z * -4) = 4(z + -4) + 2(z + -2)
22 + 11z + (12 + -4z) = 4(z + -4) + 2(z + -2)

Reorder the terms:
22 + 12 + 11z + -4z = 4(z + -4) + 2(z + -2)

Combine like terms: 22 + 12 = 34
34 + 11z + -4z = 4(z + -4) + 2(z + -2)

Combine like terms: 11z + -4z = 7z
34 + 7z = 4(z + -4) + 2(z + -2)

Reorder the terms:
34 + 7z = 4(-4 + z) + 2(z + -2)
34 + 7z = (-4 * 4 + z * 4) + 2(z + -2)
34 + 7z = (-16 + 4z) + 2(z + -2)

Reorder the terms:
34 + 7z = -16 + 4z + 2(-2 + z)
34 + 7z = -16 + 4z + (-2 * 2 + z * 2)
34 + 7z = -16 + 4z + (-4 + 2z)

Reorder the terms:
34 + 7z = -16 + -4 + 4z + 2z

Combine like terms: -16 + -4 = -20
34 + 7z = -20 + 4z + 2z

Combine like terms: 4z + 2z = 6z
34 + 7z = -20 + 6z

Solving
34 + 7z = -20 + 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.
34 + 7z + -6z = -20 + 6z + -6z

Combine like terms: 7z + -6z = 1z
34 + 1z = -20 + 6z + -6z

Combine like terms: 6z + -6z = 0
34 + 1z = -20 + 0
34 + 1z = -20

Add '-34' to each side of the equation.
34 + -34 + 1z = -20 + -34

Combine like terms: 34 + -34 = 0
0 + 1z = -20 + -34
1z = -20 + -34

Combine like terms: -20 + -34 = -54
1z = -54

Divide each side by '1'.
z = -54

Simplifying
z = -54