0.2t+0.9(13-t)=6.1

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Solution for 0.2t+0.9(13-t)=6.1 equation: 


Simplifying
0.2t + 0.9(13 + -1t) = 6.1
0.2t + (13 * 0.9 + -1t * 0.9) = 6.1
0.2t + (11.7 + -0.9t) = 6.1

Reorder the terms:
11.7 + 0.2t + -0.9t = 6.1

Combine like terms: 0.2t + -0.9t = -0.7t
11.7 + -0.7t = 6.1

Solving
11.7 + -0.7t = 6.1

Solving for variable 't'.

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

Add '-11.7' to each side of the equation.
11.7 + -11.7 + -0.7t = 6.1 + -11.7

Combine like terms: 11.7 + -11.7 = 0.0
0.0 + -0.7t = 6.1 + -11.7
-0.7t = 6.1 + -11.7

Combine like terms: 6.1 + -11.7 = -5.6
-0.7t = -5.6

Divide each side by '-0.7'.
t = 8

Simplifying
t = 8

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