-2z-5=5z+16

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


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

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

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

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

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

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

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

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

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

Divide each side by '-7'.
z = -3

Simplifying
z = -3

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