z-5=7-(3+z)

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Solution for z-5=7-(3+z) equation:


Simplifying
z + -5 = 7 + -1(3 + z)

Reorder the terms:
-5 + z = 7 + -1(3 + z)
-5 + z = 7 + (3 * -1 + z * -1)
-5 + z = 7 + (-3 + -1z)

Combine like terms: 7 + -3 = 4
-5 + z = 4 + -1z

Solving
-5 + z = 4 + -1z

Solving for variable 'z'.

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

Add 'z' to each side of the equation.
-5 + z + z = 4 + -1z + z

Combine like terms: z + z = 2z
-5 + 2z = 4 + -1z + z

Combine like terms: -1z + z = 0
-5 + 2z = 4 + 0
-5 + 2z = 4

Add '5' to each side of the equation.
-5 + 5 + 2z = 4 + 5

Combine like terms: -5 + 5 = 0
0 + 2z = 4 + 5
2z = 4 + 5

Combine like terms: 4 + 5 = 9
2z = 9

Divide each side by '2'.
z = 4.5

Simplifying
z = 4.5

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