6(t+1)=t+17.4

Solution for 6(t+1)=t+17.4 equation:

Simplifying
6(t + 1) = t + 17.4

Reorder the terms:
6(1 + t) = t + 17.4
(1 * 6 + t * 6) = t + 17.4
(6 + 6t) = t + 17.4

Reorder the terms:
6 + 6t = 17.4 + t

Solving
6 + 6t = 17.4 + t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
6 + 6t + -1t = 17.4 + t + -1t

Combine like terms: 6t + -1t = 5t
6 + 5t = 17.4 + t + -1t

Combine like terms: t + -1t = 0
6 + 5t = 17.4 + 0
6 + 5t = 17.4

Add '-6' to each side of the equation.
6 + -6 + 5t = 17.4 + -6

Combine like terms: 6 + -6 = 0
0 + 5t = 17.4 + -6
5t = 17.4 + -6

Combine like terms: 17.4 + -6 = 11.4
5t = 11.4

Divide each side by '5'.
t = 2.28

Simplifying
t = 2.28