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

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

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

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

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

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

Combine like terms: 11 + 12 = 23
23 + 11z + -4z = (z + -3) + 3(z + -2)

Combine like terms: 11z + -4z = 7z
23 + 7z = (z + -3) + 3(z + -2)

Reorder the terms:
23 + 7z = (-3 + z) + 3(z + -2)

Remove parenthesis around (-3 + z)
23 + 7z = -3 + z + 3(z + -2)

Reorder the terms:
23 + 7z = -3 + z + 3(-2 + z)
23 + 7z = -3 + z + (-2 * 3 + z * 3)
23 + 7z = -3 + z + (-6 + 3z)

Reorder the terms:
23 + 7z = -3 + -6 + z + 3z

Combine like terms: -3 + -6 = -9
23 + 7z = -9 + z + 3z

Combine like terms: z + 3z = 4z
23 + 7z = -9 + 4z

Solving
23 + 7z = -9 + 4z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-4z' to each side of the equation.
23 + 7z + -4z = -9 + 4z + -4z

Combine like terms: 7z + -4z = 3z
23 + 3z = -9 + 4z + -4z

Combine like terms: 4z + -4z = 0
23 + 3z = -9 + 0
23 + 3z = -9

Add '-23' to each side of the equation.
23 + -23 + 3z = -9 + -23

Combine like terms: 23 + -23 = 0
0 + 3z = -9 + -23
3z = -9 + -23

Combine like terms: -9 + -23 = -32
3z = -32

Divide each side by '3'.
z = -10.66666667

Simplifying
z = -10.66666667