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

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

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

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

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

Combine like terms: 6 + 9 = 15
15 + 3t = 3(t + 2) + 6t

Reorder the terms:
15 + 3t = 3(2 + t) + 6t
15 + 3t = (2 * 3 + t * 3) + 6t
15 + 3t = (6 + 3t) + 6t

Combine like terms: 3t + 6t = 9t
15 + 3t = 6 + 9t

Solving
15 + 3t = 6 + 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.
15 + 3t + -9t = 6 + 9t + -9t

Combine like terms: 3t + -9t = -6t
15 + -6t = 6 + 9t + -9t

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

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

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

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

Divide each side by '-6'.
t = 1.5

Simplifying
t = 1.5