3(2p+3)-2(p-9)=

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

Simplifying
3(2p + 3) + -2(p + -9) = 0

Reorder the terms:
3(3 + 2p) + -2(p + -9) = 0
(3 * 3 + 2p * 3) + -2(p + -9) = 0
(9 + 6p) + -2(p + -9) = 0

Reorder the terms:
9 + 6p + -2(-9 + p) = 0
9 + 6p + (-9 * -2 + p * -2) = 0
9 + 6p + (18 + -2p) = 0

Reorder the terms:
9 + 18 + 6p + -2p = 0

Combine like terms: 9 + 18 = 27
27 + 6p + -2p = 0

Combine like terms: 6p + -2p = 4p
27 + 4p = 0

Solving
27 + 4p = 0

Solving for variable 'p'.

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

Add '-27' to each side of the equation.
27 + -27 + 4p = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 4p = 0 + -27
4p = 0 + -27

Combine like terms: 0 + -27 = -27
4p = -27

Divide each side by '4'.
p = -6.75

Simplifying
p = -6.75