0.2t-2(0.4t-3)=0.4t-14

Solution for 0.2t-2(0.4t-3)=0.4t-14 equation:

Simplifying
0.2t + -2(0.4t + -3) = 0.4t + -14

Reorder the terms:
0.2t + -2(-3 + 0.4t) = 0.4t + -14
0.2t + (-3 * -2 + 0.4t * -2) = 0.4t + -14
0.2t + (6 + -0.8t) = 0.4t + -14

Reorder the terms:
6 + 0.2t + -0.8t = 0.4t + -14

Combine like terms: 0.2t + -0.8t = -0.6t
6 + -0.6t = 0.4t + -14

Reorder the terms:
6 + -0.6t = -14 + 0.4t

Solving
6 + -0.6t = -14 + 0.4t

Solving for variable 't'.

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

Add '-0.4t' to each side of the equation.
6 + -0.6t + -0.4t = -14 + 0.4t + -0.4t

Combine like terms: -0.6t + -0.4t = -1t
6 + -1t = -14 + 0.4t + -0.4t

Combine like terms: 0.4t + -0.4t = 0.0
6 + -1t = -14 + 0.0
6 + -1t = -14

Add '-6' to each side of the equation.
6 + -6 + -1t = -14 + -6

Combine like terms: 6 + -6 = 0
0 + -1t = -14 + -6
-1t = -14 + -6

Combine like terms: -14 + -6 = -20
-1t = -20

Divide each side by '-1'.
t = 20

Simplifying
t = 20