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

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

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

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

Reorder the terms:
33 + 11z + -4(-3 + z) = 4(z + -2) + 2(z + -2)
33 + 11z + (-3 * -4 + z * -4) = 4(z + -2) + 2(z + -2)
33 + 11z + (12 + -4z) = 4(z + -2) + 2(z + -2)

Reorder the terms:
33 + 12 + 11z + -4z = 4(z + -2) + 2(z + -2)

Combine like terms: 33 + 12 = 45
45 + 11z + -4z = 4(z + -2) + 2(z + -2)

Combine like terms: 11z + -4z = 7z
45 + 7z = 4(z + -2) + 2(z + -2)

Reorder the terms:
45 + 7z = 4(-2 + z) + 2(z + -2)
45 + 7z = (-2 * 4 + z * 4) + 2(z + -2)
45 + 7z = (-8 + 4z) + 2(z + -2)

Reorder the terms:
45 + 7z = -8 + 4z + 2(-2 + z)
45 + 7z = -8 + 4z + (-2 * 2 + z * 2)
45 + 7z = -8 + 4z + (-4 + 2z)

Reorder the terms:
45 + 7z = -8 + -4 + 4z + 2z

Combine like terms: -8 + -4 = -12
45 + 7z = -12 + 4z + 2z

Combine like terms: 4z + 2z = 6z
45 + 7z = -12 + 6z

Solving
45 + 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.
45 + 7z + -6z = -12 + 6z + -6z

Combine like terms: 7z + -6z = 1z
45 + 1z = -12 + 6z + -6z

Combine like terms: 6z + -6z = 0
45 + 1z = -12 + 0
45 + 1z = -12

Add '-45' to each side of the equation.
45 + -45 + 1z = -12 + -45

Combine like terms: 45 + -45 = 0
0 + 1z = -12 + -45
1z = -12 + -45

Combine like terms: -12 + -45 = -57
1z = -57

Divide each side by '1'.
z = -57

Simplifying
z = -57