9+3z-5=7z+13-3z

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Solution for 9+3z-5=7z+13-3z equation:


Simplifying
9 + 3z + -5 = 7z + 13 + -3z

Reorder the terms:
9 + -5 + 3z = 7z + 13 + -3z

Combine like terms: 9 + -5 = 4
4 + 3z = 7z + 13 + -3z

Reorder the terms:
4 + 3z = 13 + 7z + -3z

Combine like terms: 7z + -3z = 4z
4 + 3z = 13 + 4z

Solving
4 + 3z = 13 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
4 + 3z + -4z = 13 + 4z + -4z

Combine like terms: 3z + -4z = -1z
4 + -1z = 13 + 4z + -4z

Combine like terms: 4z + -4z = 0
4 + -1z = 13 + 0
4 + -1z = 13

Add '-4' to each side of the equation.
4 + -4 + -1z = 13 + -4

Combine like terms: 4 + -4 = 0
0 + -1z = 13 + -4
-1z = 13 + -4

Combine like terms: 13 + -4 = 9
-1z = 9

Divide each side by '-1'.
z = -9

Simplifying
z = -9

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