5.4t+14.6-10.1=12.8-3.5t

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Solution for 5.4t+14.6-10.1=12.8-3.5t equation: 


Simplifying
5.4t + 14.6 + -10.1 = 12.8 + -3.5t

Reorder the terms:
14.6 + -10.1 + 5.4t = 12.8 + -3.5t

Combine like terms: 14.6 + -10.1 = 4.5
4.5 + 5.4t = 12.8 + -3.5t

Solving
4.5 + 5.4t = 12.8 + -3.5t

Solving for variable 't'.

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

Add '3.5t' to each side of the equation.
4.5 + 5.4t + 3.5t = 12.8 + -3.5t + 3.5t

Combine like terms: 5.4t + 3.5t = 8.9t
4.5 + 8.9t = 12.8 + -3.5t + 3.5t

Combine like terms: -3.5t + 3.5t = 0.0
4.5 + 8.9t = 12.8 + 0.0
4.5 + 8.9t = 12.8

Add '-4.5' to each side of the equation.
4.5 + -4.5 + 8.9t = 12.8 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + 8.9t = 12.8 + -4.5
8.9t = 12.8 + -4.5

Combine like terms: 12.8 + -4.5 = 8.3
8.9t = 8.3

Divide each side by '8.9'.
t = 0.9325842697

Simplifying
t = 0.9325842697

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