23=16-[2z-4]

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Solution for 23=16-[2z-4] equation:


Simplifying
23 = 16 + -1[2z + -4]

Reorder the terms:
23 = 16 + -1[-4 + 2z]
23 = 16 + [-4 * -1 + 2z * -1]
23 = 16 + [4 + -2z]

Combine like terms: 16 + 4 = 20
23 = 20 + -2z

Solving
23 = 20 + -2z

Solving for variable 'z'.

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

Add '2z' to each side of the equation.
23 + 2z = 20 + -2z + 2z

Combine like terms: -2z + 2z = 0
23 + 2z = 20 + 0
23 + 2z = 20

Add '-23' to each side of the equation.
23 + -23 + 2z = 20 + -23

Combine like terms: 23 + -23 = 0
0 + 2z = 20 + -23
2z = 20 + -23

Combine like terms: 20 + -23 = -3
2z = -3

Divide each side by '2'.
z = -1.5

Simplifying
z = -1.5

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