38z+12.5=18z-27.5

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Solution for 38z+12.5=18z-27.5 equation: 


Simplifying
38z + 12.5 = 18z + -27.5

Reorder the terms:
12.5 + 38z = 18z + -27.5

Reorder the terms:
12.5 + 38z = -27.5 + 18z

Solving
12.5 + 38z = -27.5 + 18z

Solving for variable 'z'.

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

Add '-18z' to each side of the equation.
12.5 + 38z + -18z = -27.5 + 18z + -18z

Combine like terms: 38z + -18z = 20z
12.5 + 20z = -27.5 + 18z + -18z

Combine like terms: 18z + -18z = 0
12.5 + 20z = -27.5 + 0
12.5 + 20z = -27.5

Add '-12.5' to each side of the equation.
12.5 + -12.5 + 20z = -27.5 + -12.5

Combine like terms: 12.5 + -12.5 = 0.0
0.0 + 20z = -27.5 + -12.5
20z = -27.5 + -12.5

Combine like terms: -27.5 + -12.5 = -40
20z = -40

Divide each side by '20'.
z = -2

Simplifying
z = -2

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