9-(2z-2)=7-3z

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Solution for 9-(2z-2)=7-3z equation:


Simplifying
9 + -1(2z + -2) = 7 + -3z

Reorder the terms:
9 + -1(-2 + 2z) = 7 + -3z
9 + (-2 * -1 + 2z * -1) = 7 + -3z
9 + (2 + -2z) = 7 + -3z

Combine like terms: 9 + 2 = 11
11 + -2z = 7 + -3z

Solving
11 + -2z = 7 + -3z

Solving for variable 'z'.

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

Add '3z' to each side of the equation.
11 + -2z + 3z = 7 + -3z + 3z

Combine like terms: -2z + 3z = 1z
11 + 1z = 7 + -3z + 3z

Combine like terms: -3z + 3z = 0
11 + 1z = 7 + 0
11 + 1z = 7

Add '-11' to each side of the equation.
11 + -11 + 1z = 7 + -11

Combine like terms: 11 + -11 = 0
0 + 1z = 7 + -11
1z = 7 + -11

Combine like terms: 7 + -11 = -4
1z = -4

Divide each side by '1'.
z = -4

Simplifying
z = -4

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