10z-16=3z+5

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Solution for 10z-16=3z+5 equation:


Simplifying
10z + -16 = 3z + 5

Reorder the terms:
-16 + 10z = 3z + 5

Reorder the terms:
-16 + 10z = 5 + 3z

Solving
-16 + 10z = 5 + 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 + 10z + -3z = 5 + 3z + -3z

Combine like terms: 10z + -3z = 7z
-16 + 7z = 5 + 3z + -3z

Combine like terms: 3z + -3z = 0
-16 + 7z = 5 + 0
-16 + 7z = 5

Add '16' to each side of the equation.
-16 + 16 + 7z = 5 + 16

Combine like terms: -16 + 16 = 0
0 + 7z = 5 + 16
7z = 5 + 16

Combine like terms: 5 + 16 = 21
7z = 21

Divide each side by '7'.
z = 3

Simplifying
z = 3

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