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

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

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

Reorder the terms:
11(4 + z) + -1(z + -1) = 2(z + -2) + 4(z + -1)
(4 * 11 + z * 11) + -1(z + -1) = 2(z + -2) + 4(z + -1)
(44 + 11z) + -1(z + -1) = 2(z + -2) + 4(z + -1)

Reorder the terms:
44 + 11z + -1(-1 + z) = 2(z + -2) + 4(z + -1)
44 + 11z + (-1 * -1 + z * -1) = 2(z + -2) + 4(z + -1)
44 + 11z + (1 + -1z) = 2(z + -2) + 4(z + -1)

Reorder the terms:
44 + 1 + 11z + -1z = 2(z + -2) + 4(z + -1)

Combine like terms: 44 + 1 = 45
45 + 11z + -1z = 2(z + -2) + 4(z + -1)

Combine like terms: 11z + -1z = 10z
45 + 10z = 2(z + -2) + 4(z + -1)

Reorder the terms:
45 + 10z = 2(-2 + z) + 4(z + -1)
45 + 10z = (-2 * 2 + z * 2) + 4(z + -1)
45 + 10z = (-4 + 2z) + 4(z + -1)

Reorder the terms:
45 + 10z = -4 + 2z + 4(-1 + z)
45 + 10z = -4 + 2z + (-1 * 4 + z * 4)
45 + 10z = -4 + 2z + (-4 + 4z)

Reorder the terms:
45 + 10z = -4 + -4 + 2z + 4z

Combine like terms: -4 + -4 = -8
45 + 10z = -8 + 2z + 4z

Combine like terms: 2z + 4z = 6z
45 + 10z = -8 + 6z

Solving
45 + 10z = -8 + 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 + 10z + -6z = -8 + 6z + -6z

Combine like terms: 10z + -6z = 4z
45 + 4z = -8 + 6z + -6z

Combine like terms: 6z + -6z = 0
45 + 4z = -8 + 0
45 + 4z = -8

Add '-45' to each side of the equation.
45 + -45 + 4z = -8 + -45

Combine like terms: 45 + -45 = 0
0 + 4z = -8 + -45
4z = -8 + -45

Combine like terms: -8 + -45 = -53
4z = -53

Divide each side by '4'.
z = -13.25

Simplifying
z = -13.25