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

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

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

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

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

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

Combine like terms: 22 + 12 = 34
34 + 11z + -4z = 2(z + -3) + 4(z + -4)

Combine like terms: 11z + -4z = 7z
34 + 7z = 2(z + -3) + 4(z + -4)

Reorder the terms:
34 + 7z = 2(-3 + z) + 4(z + -4)
34 + 7z = (-3 * 2 + z * 2) + 4(z + -4)
34 + 7z = (-6 + 2z) + 4(z + -4)

Reorder the terms:
34 + 7z = -6 + 2z + 4(-4 + z)
34 + 7z = -6 + 2z + (-4 * 4 + z * 4)
34 + 7z = -6 + 2z + (-16 + 4z)

Reorder the terms:
34 + 7z = -6 + -16 + 2z + 4z

Combine like terms: -6 + -16 = -22
34 + 7z = -22 + 2z + 4z

Combine like terms: 2z + 4z = 6z
34 + 7z = -22 + 6z

Solving
34 + 7z = -22 + 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 = -22 + 6z + -6z

Combine like terms: 7z + -6z = 1z
34 + 1z = -22 + 6z + -6z

Combine like terms: 6z + -6z = 0
34 + 1z = -22 + 0
34 + 1z = -22

Add '-34' to each side of the equation.
34 + -34 + 1z = -22 + -34

Combine like terms: 34 + -34 = 0
0 + 1z = -22 + -34
1z = -22 + -34

Combine like terms: -22 + -34 = -56
1z = -56

Divide each side by '1'.
z = -56

Simplifying
z = -56