0.375z+2.25=0.8z-2.4

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Solution for 0.375z+2.25=0.8z-2.4 equation: 


Simplifying
0.375z + 2.25 = 0.8z + -2.4

Reorder the terms:
2.25 + 0.375z = 0.8z + -2.4

Reorder the terms:
2.25 + 0.375z = -2.4 + 0.8z

Solving
2.25 + 0.375z = -2.4 + 0.8z

Solving for variable 'z'.

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

Add '-0.8z' to each side of the equation.
2.25 + 0.375z + -0.8z = -2.4 + 0.8z + -0.8z

Combine like terms: 0.375z + -0.8z = -0.425z
2.25 + -0.425z = -2.4 + 0.8z + -0.8z

Combine like terms: 0.8z + -0.8z = 0.0
2.25 + -0.425z = -2.4 + 0.0
2.25 + -0.425z = -2.4

Add '-2.25' to each side of the equation.
2.25 + -2.25 + -0.425z = -2.4 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + -0.425z = -2.4 + -2.25
-0.425z = -2.4 + -2.25

Combine like terms: -2.4 + -2.25 = -4.65
-0.425z = -4.65

Divide each side by '-0.425'.
z = 10.94117647

Simplifying
z = 10.94117647

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