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

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

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

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

Reorder the terms:
33 + 11z + -4(-4 + z) = 2(z + -2) + 4(z + -3)
33 + 11z + (-4 * -4 + z * -4) = 2(z + -2) + 4(z + -3)
33 + 11z + (16 + -4z) = 2(z + -2) + 4(z + -3)

Reorder the terms:
33 + 16 + 11z + -4z = 2(z + -2) + 4(z + -3)

Combine like terms: 33 + 16 = 49
49 + 11z + -4z = 2(z + -2) + 4(z + -3)

Combine like terms: 11z + -4z = 7z
49 + 7z = 2(z + -2) + 4(z + -3)

Reorder the terms:
49 + 7z = 2(-2 + z) + 4(z + -3)
49 + 7z = (-2 * 2 + z * 2) + 4(z + -3)
49 + 7z = (-4 + 2z) + 4(z + -3)

Reorder the terms:
49 + 7z = -4 + 2z + 4(-3 + z)
49 + 7z = -4 + 2z + (-3 * 4 + z * 4)
49 + 7z = -4 + 2z + (-12 + 4z)

Reorder the terms:
49 + 7z = -4 + -12 + 2z + 4z

Combine like terms: -4 + -12 = -16
49 + 7z = -16 + 2z + 4z

Combine like terms: 2z + 4z = 6z
49 + 7z = -16 + 6z

Solving
49 + 7z = -16 + 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.
49 + 7z + -6z = -16 + 6z + -6z

Combine like terms: 7z + -6z = 1z
49 + 1z = -16 + 6z + -6z

Combine like terms: 6z + -6z = 0
49 + 1z = -16 + 0
49 + 1z = -16

Add '-49' to each side of the equation.
49 + -49 + 1z = -16 + -49

Combine like terms: 49 + -49 = 0
0 + 1z = -16 + -49
1z = -16 + -49

Combine like terms: -16 + -49 = -65
1z = -65

Divide each side by '1'.
z = -65

Simplifying
z = -65