3(4t+6)+2t=42

Solution for 3(4t+6)+2t=42 equation:

Simplifying
3(4t + 6) + 2t = 42

Reorder the terms:
3(6 + 4t) + 2t = 42
(6 * 3 + 4t * 3) + 2t = 42
(18 + 12t) + 2t = 42

Combine like terms: 12t + 2t = 14t
18 + 14t = 42

Solving
18 + 14t = 42

Solving for variable 't'.

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

Add '-18' to each side of the equation.
18 + -18 + 14t = 42 + -18

Combine like terms: 18 + -18 = 0
0 + 14t = 42 + -18
14t = 42 + -18

Combine like terms: 42 + -18 = 24
14t = 24

Divide each side by '14'.
t = 1.714285714

Simplifying
t = 1.714285714