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

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

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

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

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

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

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

Combine like terms: 11z + -2z = 9z
17 + 9z = 4(2 + -3)

Combine like terms: 2 + -3 = -1
17 + 9z = 4(-1)

Multiply 4 * -1
17 + 9z = -4

Solving
17 + 9z = -4

Solving for variable 'z'.

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

Add '-17' to each side of the equation.
17 + -17 + 9z = -4 + -17

Combine like terms: 17 + -17 = 0
0 + 9z = -4 + -17
9z = -4 + -17

Combine like terms: -4 + -17 = -21
9z = -21

Divide each side by '9'.
z = -2.333333333

Simplifying
z = -2.333333333