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

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

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

Reorder the terms:
11(3 + z) + -4(z + -3) = 3(z + -1) + 3(z + -2)
(3 * 11 + z * 11) + -4(z + -3) = 3(z + -1) + 3(z + -2)
(33 + 11z) + -4(z + -3) = 3(z + -1) + 3(z + -2)

Reorder the terms:
33 + 11z + -4(-3 + z) = 3(z + -1) + 3(z + -2)
33 + 11z + (-3 * -4 + z * -4) = 3(z + -1) + 3(z + -2)
33 + 11z + (12 + -4z) = 3(z + -1) + 3(z + -2)

Reorder the terms:
33 + 12 + 11z + -4z = 3(z + -1) + 3(z + -2)

Combine like terms: 33 + 12 = 45
45 + 11z + -4z = 3(z + -1) + 3(z + -2)

Combine like terms: 11z + -4z = 7z
45 + 7z = 3(z + -1) + 3(z + -2)

Reorder the terms:
45 + 7z = 3(-1 + z) + 3(z + -2)
45 + 7z = (-1 * 3 + z * 3) + 3(z + -2)
45 + 7z = (-3 + 3z) + 3(z + -2)

Reorder the terms:
45 + 7z = -3 + 3z + 3(-2 + z)
45 + 7z = -3 + 3z + (-2 * 3 + z * 3)
45 + 7z = -3 + 3z + (-6 + 3z)

Reorder the terms:
45 + 7z = -3 + -6 + 3z + 3z

Combine like terms: -3 + -6 = -9
45 + 7z = -9 + 3z + 3z

Combine like terms: 3z + 3z = 6z
45 + 7z = -9 + 6z

Solving
45 + 7z = -9 + 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 = -9 + 6z + -6z

Combine like terms: 7z + -6z = 1z
45 + 1z = -9 + 6z + -6z

Combine like terms: 6z + -6z = 0
45 + 1z = -9 + 0
45 + 1z = -9

Add '-45' to each side of the equation.
45 + -45 + 1z = -9 + -45

Combine like terms: 45 + -45 = 0
0 + 1z = -9 + -45
1z = -9 + -45

Combine like terms: -9 + -45 = -54
1z = -54

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

Simplifying
z = -54