2(6t+3)=18-3(16-3t)

Solution for 2(6t+3)=18-3(16-3t) equation:

Simplifying
2(6t + 3) = 18 + -3(16 + -3t)

Reorder the terms:
2(3 + 6t) = 18 + -3(16 + -3t)
(3 * 2 + 6t * 2) = 18 + -3(16 + -3t)
(6 + 12t) = 18 + -3(16 + -3t)
6 + 12t = 18 + (16 * -3 + -3t * -3)
6 + 12t = 18 + (-48 + 9t)

Combine like terms: 18 + -48 = -30
6 + 12t = -30 + 9t

Solving
6 + 12t = -30 + 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 + 12t + -9t = -30 + 9t + -9t

Combine like terms: 12t + -9t = 3t
6 + 3t = -30 + 9t + -9t

Combine like terms: 9t + -9t = 0
6 + 3t = -30 + 0
6 + 3t = -30

Add '-6' to each side of the equation.
6 + -6 + 3t = -30 + -6

Combine like terms: 6 + -6 = 0
0 + 3t = -30 + -6
3t = -30 + -6

Combine like terms: -30 + -6 = -36
3t = -36

Divide each side by '3'.
t = -12

Simplifying
t = -12