2t+2.50+3+0.08(2t+2.50)=13.80

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Solution for 2t+2.50+3+0.08(2t+2.50)=13.80 equation: 


Simplifying
2t + 2.50 + 3 + 0.08(2t + 2.50) = 13.80

Reorder the terms:
2t + 2.50 + 3 + 0.08(2.50 + 2t) = 13.80
2t + 2.50 + 3 + (2.50 * 0.08 + 2t * 0.08) = 13.80
2t + 2.50 + 3 + (0.2 + 0.16t) = 13.80

Reorder the terms:
2.50 + 3 + 0.2 + 2t + 0.16t = 13.80

Combine like terms: 2.50 + 3 = 5.5
5.5 + 0.2 + 2t + 0.16t = 13.80

Combine like terms: 5.5 + 0.2 = 5.7
5.7 + 2t + 0.16t = 13.80

Combine like terms: 2t + 0.16t = 2.16t
5.7 + 2.16t = 13.80

Solving
5.7 + 2.16t = 13.80

Solving for variable 't'.

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

Add '-5.7' to each side of the equation.
5.7 + -5.7 + 2.16t = 13.80 + -5.7

Combine like terms: 5.7 + -5.7 = 0.0
0.0 + 2.16t = 13.80 + -5.7
2.16t = 13.80 + -5.7

Combine like terms: 13.80 + -5.7 = 8.1
2.16t = 8.1

Divide each side by '2.16'.
t = 3.75

Simplifying
t = 3.75

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