8z-16=3z+9

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


Simplifying
8z + -16 = 3z + 9

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

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

Solving
-16 + 8z = 9 + 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.
-16 + 8z + -3z = 9 + 3z + -3z

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

Combine like terms: 3z + -3z = 0
-16 + 5z = 9 + 0
-16 + 5z = 9

Add '16' to each side of the equation.
-16 + 16 + 5z = 9 + 16

Combine like terms: -16 + 16 = 0
0 + 5z = 9 + 16
5z = 9 + 16

Combine like terms: 9 + 16 = 25
5z = 25

Divide each side by '5'.
z = 5

Simplifying
z = 5

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