1.4-6.1(t+6)=4.6

Solution for 1.4-6.1(t+6)=4.6 equation:

Simplifying
1.4 + -6.1(t + 6) = 4.6

Reorder the terms:
1.4 + -6.1(6 + t) = 4.6
1.4 + (6 * -6.1 + t * -6.1) = 4.6
1.4 + (-36.6 + -6.1t) = 4.6

Combine like terms: 1.4 + -36.6 = -35.2
-35.2 + -6.1t = 4.6

Solving
-35.2 + -6.1t = 4.6

Solving for variable 't'.

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

Add '35.2' to each side of the equation.
-35.2 + 35.2 + -6.1t = 4.6 + 35.2

Combine like terms: -35.2 + 35.2 = 0.0
0.0 + -6.1t = 4.6 + 35.2
-6.1t = 4.6 + 35.2

Combine like terms: 4.6 + 35.2 = 39.8
-6.1t = 39.8

Divide each side by '-6.1'.
t = -6.524590164

Simplifying
t = -6.524590164