7(z+4)-2(z-4)=2(z-1)+2(z-1)

Solution for 7(z+4)-2(z-4)=2(z-1)+2(z-1) equation:

Simplifying
7(z + 4) + -2(z + -4) = 2(z + -1) + 2(z + -1)

Reorder the terms:
7(4 + z) + -2(z + -4) = 2(z + -1) + 2(z + -1)
(4 * 7 + z * 7) + -2(z + -4) = 2(z + -1) + 2(z + -1)
(28 + 7z) + -2(z + -4) = 2(z + -1) + 2(z + -1)

Reorder the terms:
28 + 7z + -2(-4 + z) = 2(z + -1) + 2(z + -1)
28 + 7z + (-4 * -2 + z * -2) = 2(z + -1) + 2(z + -1)
28 + 7z + (8 + -2z) = 2(z + -1) + 2(z + -1)

Reorder the terms:
28 + 8 + 7z + -2z = 2(z + -1) + 2(z + -1)

Combine like terms: 28 + 8 = 36
36 + 7z + -2z = 2(z + -1) + 2(z + -1)

Combine like terms: 7z + -2z = 5z
36 + 5z = 2(z + -1) + 2(z + -1)

Reorder the terms:
36 + 5z = 2(-1 + z) + 2(z + -1)
36 + 5z = (-1 * 2 + z * 2) + 2(z + -1)
36 + 5z = (-2 + 2z) + 2(z + -1)

Reorder the terms:
36 + 5z = -2 + 2z + 2(-1 + z)
36 + 5z = -2 + 2z + (-1 * 2 + z * 2)
36 + 5z = -2 + 2z + (-2 + 2z)

Reorder the terms:
36 + 5z = -2 + -2 + 2z + 2z

Combine like terms: -2 + -2 = -4
36 + 5z = -4 + 2z + 2z

Combine like terms: 2z + 2z = 4z
36 + 5z = -4 + 4z

Solving
36 + 5z = -4 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
36 + 5z + -4z = -4 + 4z + -4z

Combine like terms: 5z + -4z = 1z
36 + 1z = -4 + 4z + -4z

Combine like terms: 4z + -4z = 0
36 + 1z = -4 + 0
36 + 1z = -4

Add '-36' to each side of the equation.
36 + -36 + 1z = -4 + -36

Combine like terms: 36 + -36 = 0
0 + 1z = -4 + -36
1z = -4 + -36

Combine like terms: -4 + -36 = -40
1z = -40

Divide each side by '1'.
z = -40

Simplifying
z = -40