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

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

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

Reorder the terms:
-3(2 + 4p) + -2(4 + -11p) = 3(2 + 3p)
(2 * -3 + 4p * -3) + -2(4 + -11p) = 3(2 + 3p)
(-6 + -12p) + -2(4 + -11p) = 3(2 + 3p)
-6 + -12p + (4 * -2 + -11p * -2) = 3(2 + 3p)
-6 + -12p + (-8 + 22p) = 3(2 + 3p)

Reorder the terms:
-6 + -8 + -12p + 22p = 3(2 + 3p)

Combine like terms: -6 + -8 = -14
-14 + -12p + 22p = 3(2 + 3p)

Combine like terms: -12p + 22p = 10p
-14 + 10p = 3(2 + 3p)
-14 + 10p = (2 * 3 + 3p * 3)
-14 + 10p = (6 + 9p)

Solving
-14 + 10p = 6 + 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.
-14 + 10p + -9p = 6 + 9p + -9p

Combine like terms: 10p + -9p = 1p
-14 + 1p = 6 + 9p + -9p

Combine like terms: 9p + -9p = 0
-14 + 1p = 6 + 0
-14 + 1p = 6

Add '14' to each side of the equation.
-14 + 14 + 1p = 6 + 14

Combine like terms: -14 + 14 = 0
0 + 1p = 6 + 14
1p = 6 + 14

Combine like terms: 6 + 14 = 20
1p = 20

Divide each side by '1'.
p = 20

Simplifying
p = 20