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

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

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

Reorder the terms:
11(4 + z) + -2(z + -3) = 4(z + -1) + (z + -3)
(4 * 11 + z * 11) + -2(z + -3) = 4(z + -1) + (z + -3)
(44 + 11z) + -2(z + -3) = 4(z + -1) + (z + -3)

Reorder the terms:
44 + 11z + -2(-3 + z) = 4(z + -1) + (z + -3)
44 + 11z + (-3 * -2 + z * -2) = 4(z + -1) + (z + -3)
44 + 11z + (6 + -2z) = 4(z + -1) + (z + -3)

Reorder the terms:
44 + 6 + 11z + -2z = 4(z + -1) + (z + -3)

Combine like terms: 44 + 6 = 50
50 + 11z + -2z = 4(z + -1) + (z + -3)

Combine like terms: 11z + -2z = 9z
50 + 9z = 4(z + -1) + (z + -3)

Reorder the terms:
50 + 9z = 4(-1 + z) + (z + -3)
50 + 9z = (-1 * 4 + z * 4) + (z + -3)
50 + 9z = (-4 + 4z) + (z + -3)

Reorder the terms:
50 + 9z = -4 + 4z + (-3 + z)

Remove parenthesis around (-3 + z)
50 + 9z = -4 + 4z + -3 + z

Reorder the terms:
50 + 9z = -4 + -3 + 4z + z

Combine like terms: -4 + -3 = -7
50 + 9z = -7 + 4z + z

Combine like terms: 4z + z = 5z
50 + 9z = -7 + 5z

Solving
50 + 9z = -7 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
50 + 9z + -5z = -7 + 5z + -5z

Combine like terms: 9z + -5z = 4z
50 + 4z = -7 + 5z + -5z

Combine like terms: 5z + -5z = 0
50 + 4z = -7 + 0
50 + 4z = -7

Add '-50' to each side of the equation.
50 + -50 + 4z = -7 + -50

Combine like terms: 50 + -50 = 0
0 + 4z = -7 + -50
4z = -7 + -50

Combine like terms: -7 + -50 = -57
4z = -57

Divide each side by '4'.
z = -14.25

Simplifying
z = -14.25