3+2z-2=5z+8-2z

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Solution for 3+2z-2=5z+8-2z equation:


Simplifying
3 + 2z + -2 = 5z + 8 + -2z

Reorder the terms:
3 + -2 + 2z = 5z + 8 + -2z

Combine like terms: 3 + -2 = 1
1 + 2z = 5z + 8 + -2z

Reorder the terms:
1 + 2z = 8 + 5z + -2z

Combine like terms: 5z + -2z = 3z
1 + 2z = 8 + 3z

Solving
1 + 2z = 8 + 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.
1 + 2z + -3z = 8 + 3z + -3z

Combine like terms: 2z + -3z = -1z
1 + -1z = 8 + 3z + -3z

Combine like terms: 3z + -3z = 0
1 + -1z = 8 + 0
1 + -1z = 8

Add '-1' to each side of the equation.
1 + -1 + -1z = 8 + -1

Combine like terms: 1 + -1 = 0
0 + -1z = 8 + -1
-1z = 8 + -1

Combine like terms: 8 + -1 = 7
-1z = 7

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

Simplifying
z = -7

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