-3(4p+3)-2(1-11p)=3(3+3p)

Solution for -3(4p+3)-2(1-11p)=3(3+3p) equation:

Simplifying
-3(4p + 3) + -2(1 + -11p) = 3(3 + 3p)

Reorder the terms:
-3(3 + 4p) + -2(1 + -11p) = 3(3 + 3p)
(3 * -3 + 4p * -3) + -2(1 + -11p) = 3(3 + 3p)
(-9 + -12p) + -2(1 + -11p) = 3(3 + 3p)
-9 + -12p + (1 * -2 + -11p * -2) = 3(3 + 3p)
-9 + -12p + (-2 + 22p) = 3(3 + 3p)

Reorder the terms:
-9 + -2 + -12p + 22p = 3(3 + 3p)

Combine like terms: -9 + -2 = -11
-11 + -12p + 22p = 3(3 + 3p)

Combine like terms: -12p + 22p = 10p
-11 + 10p = 3(3 + 3p)
-11 + 10p = (3 * 3 + 3p * 3)
-11 + 10p = (9 + 9p)

Solving
-11 + 10p = 9 + 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.
-11 + 10p + -9p = 9 + 9p + -9p

Combine like terms: 10p + -9p = 1p
-11 + 1p = 9 + 9p + -9p

Combine like terms: 9p + -9p = 0
-11 + 1p = 9 + 0
-11 + 1p = 9

Add '11' to each side of the equation.
-11 + 11 + 1p = 9 + 11

Combine like terms: -11 + 11 = 0
0 + 1p = 9 + 11
1p = 9 + 11

Combine like terms: 9 + 11 = 20
1p = 20

Divide each side by '1'.
p = 20

Simplifying
p = 20