-9=5-(7-z)

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Solution for -9=5-(7-z) equation:


Simplifying
-9 = 5 + -1(7 + -1z)
-9 = 5 + (7 * -1 + -1z * -1)
-9 = 5 + (-7 + 1z)

Combine like terms: 5 + -7 = -2
-9 = -2 + 1z

Solving
-9 = -2 + 1z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
-9 + -1z = -2 + 1z + -1z

Combine like terms: 1z + -1z = 0
-9 + -1z = -2 + 0
-9 + -1z = -2

Add '9' to each side of the equation.
-9 + 9 + -1z = -2 + 9

Combine like terms: -9 + 9 = 0
0 + -1z = -2 + 9
-1z = -2 + 9

Combine like terms: -2 + 9 = 7
-1z = 7

Divide each side by '-1'.
z = -7

Simplifying
z = -7

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