6(3t+1)=2(14+10)

Solution for 6(3t+1)=2(14+10) equation:

Simplifying
6(3t + 1) = 2(14 + 10)

Reorder the terms:
6(1 + 3t) = 2(14 + 10)
(1 * 6 + 3t * 6) = 2(14 + 10)
(6 + 18t) = 2(14 + 10)

Combine like terms: 14 + 10 = 24
6 + 18t = 2(24)

Multiply 2 * 24
6 + 18t = 48

Solving
6 + 18t = 48

Solving for variable 't'.

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

Add '-6' to each side of the equation.
6 + -6 + 18t = 48 + -6

Combine like terms: 6 + -6 = 0
0 + 18t = 48 + -6
18t = 48 + -6

Combine like terms: 48 + -6 = 42
18t = 42

Divide each side by '18'.
t = 2.333333333

Simplifying
t = 2.333333333