0.2t+0.6(16-t)=5.2

Solution for 0.2t+0.6(16-t)=5.2 equation:

Simplifying
0.2t + 0.6(16 + -1t) = 5.2
0.2t + (16 * 0.6 + -1t * 0.6) = 5.2
0.2t + (9.6 + -0.6t) = 5.2

Reorder the terms:
9.6 + 0.2t + -0.6t = 5.2

Combine like terms: 0.2t + -0.6t = -0.4t
9.6 + -0.4t = 5.2

Solving
9.6 + -0.4t = 5.2

Solving for variable 't'.

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

Add '-9.6' to each side of the equation.
9.6 + -9.6 + -0.4t = 5.2 + -9.6

Combine like terms: 9.6 + -9.6 = 0.0
0.0 + -0.4t = 5.2 + -9.6
-0.4t = 5.2 + -9.6

Combine like terms: 5.2 + -9.6 = -4.4
-0.4t = -4.4

Divide each side by '-0.4'.
t = 11

Simplifying
t = 11