2(3p-6)-(4p+6)=0

Solution for 2(3p-6)-(4p+6)=0 equation:

Simplifying
2(3p + -6) + -1(4p + 6) = 0

Reorder the terms:
2(-6 + 3p) + -1(4p + 6) = 0
(-6 * 2 + 3p * 2) + -1(4p + 6) = 0
(-12 + 6p) + -1(4p + 6) = 0

Reorder the terms:
-12 + 6p + -1(6 + 4p) = 0
-12 + 6p + (6 * -1 + 4p * -1) = 0
-12 + 6p + (-6 + -4p) = 0

Reorder the terms:
-12 + -6 + 6p + -4p = 0

Combine like terms: -12 + -6 = -18
-18 + 6p + -4p = 0

Combine like terms: 6p + -4p = 2p
-18 + 2p = 0

Solving
-18 + 2p = 0

Solving for variable 'p'.

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

Add '18' to each side of the equation.
-18 + 18 + 2p = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 2p = 0 + 18
2p = 0 + 18

Combine like terms: 0 + 18 = 18
2p = 18

Divide each side by '2'.
p = 9

Simplifying
p = 9