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

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

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

Reorder the terms:
9(3 + t) + 9 = 3(t + -2) + 6
(3 * 9 + t * 9) + 9 = 3(t + -2) + 6
(27 + 9t) + 9 = 3(t + -2) + 6

Reorder the terms:
27 + 9 + 9t = 3(t + -2) + 6

Combine like terms: 27 + 9 = 36
36 + 9t = 3(t + -2) + 6

Reorder the terms:
36 + 9t = 3(-2 + t) + 6
36 + 9t = (-2 * 3 + t * 3) + 6
36 + 9t = (-6 + 3t) + 6

Reorder the terms:
36 + 9t = -6 + 6 + 3t

Combine like terms: -6 + 6 = 0
36 + 9t = 0 + 3t
36 + 9t = 3t

Solving
36 + 9t = 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.
36 + 9t + -3t = 3t + -3t

Combine like terms: 9t + -3t = 6t
36 + 6t = 3t + -3t

Combine like terms: 3t + -3t = 0
36 + 6t = 0

Add '-36' to each side of the equation.
36 + -36 + 6t = 0 + -36

Combine like terms: 36 + -36 = 0
0 + 6t = 0 + -36
6t = 0 + -36

Combine like terms: 0 + -36 = -36
6t = -36

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

Simplifying
t = -6