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

Solution for (t+3+9)=3(t-2)+6 equation:

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

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

Combine like terms: 3 + 9 = 12
(12 + t) = 3(t + -2) + 6

Remove parenthesis around (12 + t)
12 + t = 3(t + -2) + 6

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

Reorder the terms:
12 + t = -6 + 6 + 3t

Combine like terms: -6 + 6 = 0
12 + t = 0 + 3t
12 + t = 3t

Solving
12 + t = 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.
12 + t + -3t = 3t + -3t

Combine like terms: t + -3t = -2t
12 + -2t = 3t + -3t

Combine like terms: 3t + -3t = 0
12 + -2t = 0

Add '-12' to each side of the equation.
12 + -12 + -2t = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -2t = 0 + -12
-2t = 0 + -12

Combine like terms: 0 + -12 = -12
-2t = -12

Divide each side by '-2'.
t = 6

Simplifying
t = 6