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

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Solution for 8(z+4)-2(z-4)=2(z-1)+3(z-4) equation: 


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

Reorder the terms:
8(4 + z) + -2(z + -4) = 2(z + -1) + 3(z + -4)
(4 * 8 + z * 8) + -2(z + -4) = 2(z + -1) + 3(z + -4)
(32 + 8z) + -2(z + -4) = 2(z + -1) + 3(z + -4)

Reorder the terms:
32 + 8z + -2(-4 + z) = 2(z + -1) + 3(z + -4)
32 + 8z + (-4 * -2 + z * -2) = 2(z + -1) + 3(z + -4)
32 + 8z + (8 + -2z) = 2(z + -1) + 3(z + -4)

Reorder the terms:
32 + 8 + 8z + -2z = 2(z + -1) + 3(z + -4)

Combine like terms: 32 + 8 = 40
40 + 8z + -2z = 2(z + -1) + 3(z + -4)

Combine like terms: 8z + -2z = 6z
40 + 6z = 2(z + -1) + 3(z + -4)

Reorder the terms:
40 + 6z = 2(-1 + z) + 3(z + -4)
40 + 6z = (-1 * 2 + z * 2) + 3(z + -4)
40 + 6z = (-2 + 2z) + 3(z + -4)

Reorder the terms:
40 + 6z = -2 + 2z + 3(-4 + z)
40 + 6z = -2 + 2z + (-4 * 3 + z * 3)
40 + 6z = -2 + 2z + (-12 + 3z)

Reorder the terms:
40 + 6z = -2 + -12 + 2z + 3z

Combine like terms: -2 + -12 = -14
40 + 6z = -14 + 2z + 3z

Combine like terms: 2z + 3z = 5z
40 + 6z = -14 + 5z

Solving
40 + 6z = -14 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
40 + 6z + -5z = -14 + 5z + -5z

Combine like terms: 6z + -5z = 1z
40 + 1z = -14 + 5z + -5z

Combine like terms: 5z + -5z = 0
40 + 1z = -14 + 0
40 + 1z = -14

Add '-40' to each side of the equation.
40 + -40 + 1z = -14 + -40

Combine like terms: 40 + -40 = 0
0 + 1z = -14 + -40
1z = -14 + -40

Combine like terms: -14 + -40 = -54
1z = -54

Divide each side by '1'.
z = -54

Simplifying
z = -54

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