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

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

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

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

Reorder the terms:
44 + 11z + -3(-3 + z) = 4(z + -4) + 3(z + -4)
44 + 11z + (-3 * -3 + z * -3) = 4(z + -4) + 3(z + -4)
44 + 11z + (9 + -3z) = 4(z + -4) + 3(z + -4)

Reorder the terms:
44 + 9 + 11z + -3z = 4(z + -4) + 3(z + -4)

Combine like terms: 44 + 9 = 53
53 + 11z + -3z = 4(z + -4) + 3(z + -4)

Combine like terms: 11z + -3z = 8z
53 + 8z = 4(z + -4) + 3(z + -4)

Reorder the terms:
53 + 8z = 4(-4 + z) + 3(z + -4)
53 + 8z = (-4 * 4 + z * 4) + 3(z + -4)
53 + 8z = (-16 + 4z) + 3(z + -4)

Reorder the terms:
53 + 8z = -16 + 4z + 3(-4 + z)
53 + 8z = -16 + 4z + (-4 * 3 + z * 3)
53 + 8z = -16 + 4z + (-12 + 3z)

Reorder the terms:
53 + 8z = -16 + -12 + 4z + 3z

Combine like terms: -16 + -12 = -28
53 + 8z = -28 + 4z + 3z

Combine like terms: 4z + 3z = 7z
53 + 8z = -28 + 7z

Solving
53 + 8z = -28 + 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.
53 + 8z + -7z = -28 + 7z + -7z

Combine like terms: 8z + -7z = 1z
53 + 1z = -28 + 7z + -7z

Combine like terms: 7z + -7z = 0
53 + 1z = -28 + 0
53 + 1z = -28

Add '-53' to each side of the equation.
53 + -53 + 1z = -28 + -53

Combine like terms: 53 + -53 = 0
0 + 1z = -28 + -53
1z = -28 + -53

Combine like terms: -28 + -53 = -81
1z = -81

Divide each side by '1'.
z = -81

Simplifying
z = -81