14.2t-25.2=3.8t+28.8

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Solution for 14.2t-25.2=3.8t+28.8 equation: 


Simplifying
14.2t + -25.2 = 3.8t + 28.8

Reorder the terms:
-25.2 + 14.2t = 3.8t + 28.8

Reorder the terms:
-25.2 + 14.2t = 28.8 + 3.8t

Solving
-25.2 + 14.2t = 28.8 + 3.8t

Solving for variable 't'.

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

Add '-3.8t' to each side of the equation.
-25.2 + 14.2t + -3.8t = 28.8 + 3.8t + -3.8t

Combine like terms: 14.2t + -3.8t = 10.4t
-25.2 + 10.4t = 28.8 + 3.8t + -3.8t

Combine like terms: 3.8t + -3.8t = 0.0
-25.2 + 10.4t = 28.8 + 0.0
-25.2 + 10.4t = 28.8

Add '25.2' to each side of the equation.
-25.2 + 25.2 + 10.4t = 28.8 + 25.2

Combine like terms: -25.2 + 25.2 = 0.0
0.0 + 10.4t = 28.8 + 25.2
10.4t = 28.8 + 25.2

Combine like terms: 28.8 + 25.2 = 54
10.4t = 54

Divide each side by '10.4'.
t = 5.192307692

Simplifying
t = 5.192307692

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