9+3z-5=8z+16-3z

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Solution for 9+3z-5=8z+16-3z equation:


Simplifying
9 + 3z + -5 = 8z + 16 + -3z

Reorder the terms:
9 + -5 + 3z = 8z + 16 + -3z

Combine like terms: 9 + -5 = 4
4 + 3z = 8z + 16 + -3z

Reorder the terms:
4 + 3z = 16 + 8z + -3z

Combine like terms: 8z + -3z = 5z
4 + 3z = 16 + 5z

Solving
4 + 3z = 16 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
4 + 3z + -5z = 16 + 5z + -5z

Combine like terms: 3z + -5z = -2z
4 + -2z = 16 + 5z + -5z

Combine like terms: 5z + -5z = 0
4 + -2z = 16 + 0
4 + -2z = 16

Add '-4' to each side of the equation.
4 + -4 + -2z = 16 + -4

Combine like terms: 4 + -4 = 0
0 + -2z = 16 + -4
-2z = 16 + -4

Combine like terms: 16 + -4 = 12
-2z = 12

Divide each side by '-2'.
z = -6

Simplifying
z = -6

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