2(3+t)=3(3t-2)-9

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

Simplifying
2(3 + t) = 3(3t + -2) + -9
(3 * 2 + t * 2) = 3(3t + -2) + -9
(6 + 2t) = 3(3t + -2) + -9

Reorder the terms:
6 + 2t = 3(-2 + 3t) + -9
6 + 2t = (-2 * 3 + 3t * 3) + -9
6 + 2t = (-6 + 9t) + -9

Reorder the terms:
6 + 2t = -6 + -9 + 9t

Combine like terms: -6 + -9 = -15
6 + 2t = -15 + 9t

Solving
6 + 2t = -15 + 9t

Solving for variable 't'.

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

Add '-9t' to each side of the equation.
6 + 2t + -9t = -15 + 9t + -9t

Combine like terms: 2t + -9t = -7t
6 + -7t = -15 + 9t + -9t

Combine like terms: 9t + -9t = 0
6 + -7t = -15 + 0
6 + -7t = -15

Add '-6' to each side of the equation.
6 + -6 + -7t = -15 + -6

Combine like terms: 6 + -6 = 0
0 + -7t = -15 + -6
-7t = -15 + -6

Combine like terms: -15 + -6 = -21
-7t = -21

Divide each side by '-7'.
t = 3

Simplifying
t = 3