4-4(z-4)=(4z-7)-5

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Solution for 4-4(z-4)=(4z-7)-5 equation: 


Simplifying
4 + -4(z + -4) = (4z + -7) + -5

Reorder the terms:
4 + -4(-4 + z) = (4z + -7) + -5
4 + (-4 * -4 + z * -4) = (4z + -7) + -5
4 + (16 + -4z) = (4z + -7) + -5

Combine like terms: 4 + 16 = 20
20 + -4z = (4z + -7) + -5

Reorder the terms:
20 + -4z = (-7 + 4z) + -5

Remove parenthesis around (-7 + 4z)
20 + -4z = -7 + 4z + -5

Reorder the terms:
20 + -4z = -7 + -5 + 4z

Combine like terms: -7 + -5 = -12
20 + -4z = -12 + 4z

Solving
20 + -4z = -12 + 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.
20 + -4z + -4z = -12 + 4z + -4z

Combine like terms: -4z + -4z = -8z
20 + -8z = -12 + 4z + -4z

Combine like terms: 4z + -4z = 0
20 + -8z = -12 + 0
20 + -8z = -12

Add '-20' to each side of the equation.
20 + -20 + -8z = -12 + -20

Combine like terms: 20 + -20 = 0
0 + -8z = -12 + -20
-8z = -12 + -20

Combine like terms: -12 + -20 = -32
-8z = -32

Divide each side by '-8'.
z = 4

Simplifying
z = 4

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