6(2t+1)=3(7t+7)

Solution for 6(2t+1)=3(7t+7) equation:

Simplifying
6(2t + 1) = 3(7t + 7)

Reorder the terms:
6(1 + 2t) = 3(7t + 7)
(1 * 6 + 2t * 6) = 3(7t + 7)
(6 + 12t) = 3(7t + 7)

Reorder the terms:
6 + 12t = 3(7 + 7t)
6 + 12t = (7 * 3 + 7t * 3)
6 + 12t = (21 + 21t)

Solving
6 + 12t = 21 + 21t

Solving for variable 't'.

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

Add '-21t' to each side of the equation.
6 + 12t + -21t = 21 + 21t + -21t

Combine like terms: 12t + -21t = -9t
6 + -9t = 21 + 21t + -21t

Combine like terms: 21t + -21t = 0
6 + -9t = 21 + 0
6 + -9t = 21

Add '-6' to each side of the equation.
6 + -6 + -9t = 21 + -6

Combine like terms: 6 + -6 = 0
0 + -9t = 21 + -6
-9t = 21 + -6

Combine like terms: 21 + -6 = 15
-9t = 15

Divide each side by '-9'.
t = -1.666666667

Simplifying
t = -1.666666667