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

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

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

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

Reorder the terms:
11 + 11z + -3(-2 + z) = 4(z + -1) + 3(z + -2)
11 + 11z + (-2 * -3 + z * -3) = 4(z + -1) + 3(z + -2)
11 + 11z + (6 + -3z) = 4(z + -1) + 3(z + -2)

Reorder the terms:
11 + 6 + 11z + -3z = 4(z + -1) + 3(z + -2)

Combine like terms: 11 + 6 = 17
17 + 11z + -3z = 4(z + -1) + 3(z + -2)

Combine like terms: 11z + -3z = 8z
17 + 8z = 4(z + -1) + 3(z + -2)

Reorder the terms:
17 + 8z = 4(-1 + z) + 3(z + -2)
17 + 8z = (-1 * 4 + z * 4) + 3(z + -2)
17 + 8z = (-4 + 4z) + 3(z + -2)

Reorder the terms:
17 + 8z = -4 + 4z + 3(-2 + z)
17 + 8z = -4 + 4z + (-2 * 3 + z * 3)
17 + 8z = -4 + 4z + (-6 + 3z)

Reorder the terms:
17 + 8z = -4 + -6 + 4z + 3z

Combine like terms: -4 + -6 = -10
17 + 8z = -10 + 4z + 3z

Combine like terms: 4z + 3z = 7z
17 + 8z = -10 + 7z

Solving
17 + 8z = -10 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
17 + 8z + -7z = -10 + 7z + -7z

Combine like terms: 8z + -7z = 1z
17 + 1z = -10 + 7z + -7z

Combine like terms: 7z + -7z = 0
17 + 1z = -10 + 0
17 + 1z = -10

Add '-17' to each side of the equation.
17 + -17 + 1z = -10 + -17

Combine like terms: 17 + -17 = 0
0 + 1z = -10 + -17
1z = -10 + -17

Combine like terms: -10 + -17 = -27
1z = -27

Divide each side by '1'.
z = -27

Simplifying
z = -27