6(t+2.6)=14t-13.2

Solution for 6(t+2.6)=14t-13.2 equation:

Simplifying
6(t + 2.6) = 14t + -13.2

Reorder the terms:
6(2.6 + t) = 14t + -13.2
(2.6 * 6 + t * 6) = 14t + -13.2
(15.6 + 6t) = 14t + -13.2

Reorder the terms:
15.6 + 6t = -13.2 + 14t

Solving
15.6 + 6t = -13.2 + 14t

Solving for variable 't'.

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

Add '-14t' to each side of the equation.
15.6 + 6t + -14t = -13.2 + 14t + -14t

Combine like terms: 6t + -14t = -8t
15.6 + -8t = -13.2 + 14t + -14t

Combine like terms: 14t + -14t = 0
15.6 + -8t = -13.2 + 0
15.6 + -8t = -13.2

Add '-15.6' to each side of the equation.
15.6 + -15.6 + -8t = -13.2 + -15.6

Combine like terms: 15.6 + -15.6 = 0.0
0.0 + -8t = -13.2 + -15.6
-8t = -13.2 + -15.6

Combine like terms: -13.2 + -15.6 = -28.8
-8t = -28.8

Divide each side by '-8'.
t = 3.6

Simplifying
t = 3.6