1.4+1.6(t+6)=4.6

Solution for 1.4+1.6(t+6)=4.6 equation:

Simplifying
1.4 + 1.6(t + 6) = 4.6

Reorder the terms:
1.4 + 1.6(6 + t) = 4.6
1.4 + (6 * 1.6 + t * 1.6) = 4.6
1.4 + (9.6 + 1.6t) = 4.6

Combine like terms: 1.4 + 9.6 = 11
11 + 1.6t = 4.6

Solving
11 + 1.6t = 4.6

Solving for variable 't'.

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

Add '-11' to each side of the equation.
11 + -11 + 1.6t = 4.6 + -11

Combine like terms: 11 + -11 = 0
0 + 1.6t = 4.6 + -11
1.6t = 4.6 + -11

Combine like terms: 4.6 + -11 = -6.4
1.6t = -6.4

Divide each side by '1.6'.
t = -4

Simplifying
t = -4