3(20-12t)=1.14(14+21t)-12t

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Solution for 3(20-12t)=1.14(14+21t)-12t equation: 


Simplifying
3(20 + -12t) = 1.14(14 + 21t) + -12t
(20 * 3 + -12t * 3) = 1.14(14 + 21t) + -12t
(60 + -36t) = 1.14(14 + 21t) + -12t
60 + -36t = (14 * 1.14 + 21t * 1.14) + -12t
60 + -36t = (15.96 + 23.94t) + -12t

Combine like terms: 23.94t + -12t = 11.94t
60 + -36t = 15.96 + 11.94t

Solving
60 + -36t = 15.96 + 11.94t

Solving for variable 't'.

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

Add '-11.94t' to each side of the equation.
60 + -36t + -11.94t = 15.96 + 11.94t + -11.94t

Combine like terms: -36t + -11.94t = -47.94t
60 + -47.94t = 15.96 + 11.94t + -11.94t

Combine like terms: 11.94t + -11.94t = 0.00
60 + -47.94t = 15.96 + 0.00
60 + -47.94t = 15.96

Add '-60' to each side of the equation.
60 + -60 + -47.94t = 15.96 + -60

Combine like terms: 60 + -60 = 0
0 + -47.94t = 15.96 + -60
-47.94t = 15.96 + -60

Combine like terms: 15.96 + -60 = -44.04
-47.94t = -44.04

Divide each side by '-47.94'.
t = 0.9186483104

Simplifying
t = 0.9186483104

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