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

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

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

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

Reorder the terms:
44 + 11z + -4(-3 + z) = 3(z + -1) + 3(z + -3)
44 + 11z + (-3 * -4 + z * -4) = 3(z + -1) + 3(z + -3)
44 + 11z + (12 + -4z) = 3(z + -1) + 3(z + -3)

Reorder the terms:
44 + 12 + 11z + -4z = 3(z + -1) + 3(z + -3)

Combine like terms: 44 + 12 = 56
56 + 11z + -4z = 3(z + -1) + 3(z + -3)

Combine like terms: 11z + -4z = 7z
56 + 7z = 3(z + -1) + 3(z + -3)

Reorder the terms:
56 + 7z = 3(-1 + z) + 3(z + -3)
56 + 7z = (-1 * 3 + z * 3) + 3(z + -3)
56 + 7z = (-3 + 3z) + 3(z + -3)

Reorder the terms:
56 + 7z = -3 + 3z + 3(-3 + z)
56 + 7z = -3 + 3z + (-3 * 3 + z * 3)
56 + 7z = -3 + 3z + (-9 + 3z)

Reorder the terms:
56 + 7z = -3 + -9 + 3z + 3z

Combine like terms: -3 + -9 = -12
56 + 7z = -12 + 3z + 3z

Combine like terms: 3z + 3z = 6z
56 + 7z = -12 + 6z

Solving
56 + 7z = -12 + 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.
56 + 7z + -6z = -12 + 6z + -6z

Combine like terms: 7z + -6z = 1z
56 + 1z = -12 + 6z + -6z

Combine like terms: 6z + -6z = 0
56 + 1z = -12 + 0
56 + 1z = -12

Add '-56' to each side of the equation.
56 + -56 + 1z = -12 + -56

Combine like terms: 56 + -56 = 0
0 + 1z = -12 + -56
1z = -12 + -56

Combine like terms: -12 + -56 = -68
1z = -68

Divide each side by '1'.
z = -68

Simplifying
z = -68