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

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

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

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

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

Solving
6 + 12p = -30 + 9p

Solving for variable 'p'.

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

Add '-9p' to each side of the equation.
6 + 12p + -9p = -30 + 9p + -9p

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

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

Add '-6' to each side of the equation.
6 + -6 + 3p = -30 + -6

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

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

Divide each side by '3'.
p = -12

Simplifying
p = -12