5z-16=-2z+5

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Solution for 5z-16=-2z+5 equation:


Simplifying
5z + -16 = -2z + 5

Reorder the terms:
-16 + 5z = -2z + 5

Reorder the terms:
-16 + 5z = 5 + -2z

Solving
-16 + 5z = 5 + -2z

Solving for variable 'z'.

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

Add '2z' to each side of the equation.
-16 + 5z + 2z = 5 + -2z + 2z

Combine like terms: 5z + 2z = 7z
-16 + 7z = 5 + -2z + 2z

Combine like terms: -2z + 2z = 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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