3t+2(t+6)=42

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

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

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

Reorder the terms:
12 + 3t + 2t = 42

Combine like terms: 3t + 2t = 5t
12 + 5t = 42

Solving
12 + 5t = 42

Solving for variable 't'.

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

Add '-12' to each side of the equation.
12 + -12 + 5t = 42 + -12

Combine like terms: 12 + -12 = 0
0 + 5t = 42 + -12
5t = 42 + -12

Combine like terms: 42 + -12 = 30
5t = 30

Divide each side by '5'.
t = 6

Simplifying
t = 6