.4-1.6(t+6)=4.6

Solution for .4-1.6(t+6)=4.6 equation:

Simplifying
0.4 + -1.6(t + 6) = 4.6

Reorder the terms:
0.4 + -1.6(6 + t) = 4.6
0.4 + (6 * -1.6 + t * -1.6) = 4.6
0.4 + (-9.6 + -1.6t) = 4.6

Combine like terms: 0.4 + -9.6 = -9.2
-9.2 + -1.6t = 4.6

Solving
-9.2 + -1.6t = 4.6

Solving for variable 't'.

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

Add '9.2' to each side of the equation.
-9.2 + 9.2 + -1.6t = 4.6 + 9.2

Combine like terms: -9.2 + 9.2 = 0.0
0.0 + -1.6t = 4.6 + 9.2
-1.6t = 4.6 + 9.2

Combine like terms: 4.6 + 9.2 = 13.8
-1.6t = 13.8

Divide each side by '-1.6'.
t = -8.625

Simplifying
t = -8.625