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

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

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

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

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

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

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

Combine like terms: 11z + -3z = 8z
50 + 8z = 4(z + -4) + 3(z + -3)

Reorder the terms:
50 + 8z = 4(-4 + z) + 3(z + -3)
50 + 8z = (-4 * 4 + z * 4) + 3(z + -3)
50 + 8z = (-16 + 4z) + 3(z + -3)

Reorder the terms:
50 + 8z = -16 + 4z + 3(-3 + z)
50 + 8z = -16 + 4z + (-3 * 3 + z * 3)
50 + 8z = -16 + 4z + (-9 + 3z)

Reorder the terms:
50 + 8z = -16 + -9 + 4z + 3z

Combine like terms: -16 + -9 = -25
50 + 8z = -25 + 4z + 3z

Combine like terms: 4z + 3z = 7z
50 + 8z = -25 + 7z

Solving
50 + 8z = -25 + 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.
50 + 8z + -7z = -25 + 7z + -7z

Combine like terms: 8z + -7z = 1z
50 + 1z = -25 + 7z + -7z

Combine like terms: 7z + -7z = 0
50 + 1z = -25 + 0
50 + 1z = -25

Add '-50' to each side of the equation.
50 + -50 + 1z = -25 + -50

Combine like terms: 50 + -50 = 0
0 + 1z = -25 + -50
1z = -25 + -50

Combine like terms: -25 + -50 = -75
1z = -75

Divide each side by '1'.
z = -75

Simplifying
z = -75