0.4t+0.6(40-t)=21.2

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Solution for 0.4t+0.6(40-t)=21.2 equation: 


Simplifying
0.4t + 0.6(40 + -1t) = 21.2
0.4t + (40 * 0.6 + -1t * 0.6) = 21.2
0.4t + (24 + -0.6t) = 21.2

Reorder the terms:
24 + 0.4t + -0.6t = 21.2

Combine like terms: 0.4t + -0.6t = -0.2t
24 + -0.2t = 21.2

Solving
24 + -0.2t = 21.2

Solving for variable 't'.

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

Add '-24' to each side of the equation.
24 + -24 + -0.2t = 21.2 + -24

Combine like terms: 24 + -24 = 0
0 + -0.2t = 21.2 + -24
-0.2t = 21.2 + -24

Combine like terms: 21.2 + -24 = -2.8
-0.2t = -2.8

Divide each side by '-0.2'.
t = 14

Simplifying
t = 14

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