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

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

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

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

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

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

Combine like terms: 44 + 3 = 47
47 + 11z + -3z = 4(z + -3) + 3(z + -2)

Combine like terms: 11z + -3z = 8z
47 + 8z = 4(z + -3) + 3(z + -2)

Reorder the terms:
47 + 8z = 4(-3 + z) + 3(z + -2)
47 + 8z = (-3 * 4 + z * 4) + 3(z + -2)
47 + 8z = (-12 + 4z) + 3(z + -2)

Reorder the terms:
47 + 8z = -12 + 4z + 3(-2 + z)
47 + 8z = -12 + 4z + (-2 * 3 + z * 3)
47 + 8z = -12 + 4z + (-6 + 3z)

Reorder the terms:
47 + 8z = -12 + -6 + 4z + 3z

Combine like terms: -12 + -6 = -18
47 + 8z = -18 + 4z + 3z

Combine like terms: 4z + 3z = 7z
47 + 8z = -18 + 7z

Solving
47 + 8z = -18 + 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.
47 + 8z + -7z = -18 + 7z + -7z

Combine like terms: 8z + -7z = 1z
47 + 1z = -18 + 7z + -7z

Combine like terms: 7z + -7z = 0
47 + 1z = -18 + 0
47 + 1z = -18

Add '-47' to each side of the equation.
47 + -47 + 1z = -18 + -47

Combine like terms: 47 + -47 = 0
0 + 1z = -18 + -47
1z = -18 + -47

Combine like terms: -18 + -47 = -65
1z = -65

Divide each side by '1'.
z = -65

Simplifying
z = -65