20z+5+12.5z=16-0.5z

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Solution for 20z+5+12.5z=16-0.5z equation:


Simplifying
20z + 5 + 12.5z = 16 + -0.5z

Reorder the terms:
5 + 20z + 12.5z = 16 + -0.5z

Combine like terms: 20z + 12.5z = 32.5z
5 + 32.5z = 16 + -0.5z

Solving
5 + 32.5z = 16 + -0.5z

Solving for variable 'z'.

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

Add '0.5z' to each side of the equation.
5 + 32.5z + 0.5z = 16 + -0.5z + 0.5z

Combine like terms: 32.5z + 0.5z = 33z
5 + 33z = 16 + -0.5z + 0.5z

Combine like terms: -0.5z + 0.5z = 0.0
5 + 33z = 16 + 0.0
5 + 33z = 16

Add '-5' to each side of the equation.
5 + -5 + 33z = 16 + -5

Combine like terms: 5 + -5 = 0
0 + 33z = 16 + -5
33z = 16 + -5

Combine like terms: 16 + -5 = 11
33z = 11

Divide each side by '33'.
z = 0.3333333333

Simplifying
z = 0.3333333333

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