2(3t+14)+11=3(t+9)

Solution for 2(3t+14)+11=3(t+9) equation:

Simplifying
2(3t + 14) + 11 = 3(t + 9)

Reorder the terms:
2(14 + 3t) + 11 = 3(t + 9)
(14 * 2 + 3t * 2) + 11 = 3(t + 9)
(28 + 6t) + 11 = 3(t + 9)

Reorder the terms:
28 + 11 + 6t = 3(t + 9)

Combine like terms: 28 + 11 = 39
39 + 6t = 3(t + 9)

Reorder the terms:
39 + 6t = 3(9 + t)
39 + 6t = (9 * 3 + t * 3)
39 + 6t = (27 + 3t)

Solving
39 + 6t = 27 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
39 + 6t + -3t = 27 + 3t + -3t

Combine like terms: 6t + -3t = 3t
39 + 3t = 27 + 3t + -3t

Combine like terms: 3t + -3t = 0
39 + 3t = 27 + 0
39 + 3t = 27

Add '-39' to each side of the equation.
39 + -39 + 3t = 27 + -39

Combine like terms: 39 + -39 = 0
0 + 3t = 27 + -39
3t = 27 + -39

Combine like terms: 27 + -39 = -12
3t = -12

Divide each side by '3'.
t = -4

Simplifying
t = -4