-3(3p+6)-2(3-11p)=3(6+4p)

Solution for -3(3p+6)-2(3-11p)=3(6+4p) equation:

Simplifying
-3(3p + 6) + -2(3 + -11p) = 3(6 + 4p)

Reorder the terms:
-3(6 + 3p) + -2(3 + -11p) = 3(6 + 4p)
(6 * -3 + 3p * -3) + -2(3 + -11p) = 3(6 + 4p)
(-18 + -9p) + -2(3 + -11p) = 3(6 + 4p)
-18 + -9p + (3 * -2 + -11p * -2) = 3(6 + 4p)
-18 + -9p + (-6 + 22p) = 3(6 + 4p)

Reorder the terms:
-18 + -6 + -9p + 22p = 3(6 + 4p)

Combine like terms: -18 + -6 = -24
-24 + -9p + 22p = 3(6 + 4p)

Combine like terms: -9p + 22p = 13p
-24 + 13p = 3(6 + 4p)
-24 + 13p = (6 * 3 + 4p * 3)
-24 + 13p = (18 + 12p)

Solving
-24 + 13p = 18 + 12p

Solving for variable 'p'.

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

Add '-12p' to each side of the equation.
-24 + 13p + -12p = 18 + 12p + -12p

Combine like terms: 13p + -12p = 1p
-24 + 1p = 18 + 12p + -12p

Combine like terms: 12p + -12p = 0
-24 + 1p = 18 + 0
-24 + 1p = 18

Add '24' to each side of the equation.
-24 + 24 + 1p = 18 + 24

Combine like terms: -24 + 24 = 0
0 + 1p = 18 + 24
1p = 18 + 24

Combine like terms: 18 + 24 = 42
1p = 42

Divide each side by '1'.
p = 42

Simplifying
p = 42