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

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

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

Reorder the terms:
-3(6 + 4p) + -2(2 + -11p) = 3(6 + 3p)
(6 * -3 + 4p * -3) + -2(2 + -11p) = 3(6 + 3p)
(-18 + -12p) + -2(2 + -11p) = 3(6 + 3p)
-18 + -12p + (2 * -2 + -11p * -2) = 3(6 + 3p)
-18 + -12p + (-4 + 22p) = 3(6 + 3p)

Reorder the terms:
-18 + -4 + -12p + 22p = 3(6 + 3p)

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

Combine like terms: -12p + 22p = 10p
-22 + 10p = 3(6 + 3p)
-22 + 10p = (6 * 3 + 3p * 3)
-22 + 10p = (18 + 9p)

Solving
-22 + 10p = 18 + 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.
-22 + 10p + -9p = 18 + 9p + -9p

Combine like terms: 10p + -9p = 1p
-22 + 1p = 18 + 9p + -9p

Combine like terms: 9p + -9p = 0
-22 + 1p = 18 + 0
-22 + 1p = 18

Add '22' to each side of the equation.
-22 + 22 + 1p = 18 + 22

Combine like terms: -22 + 22 = 0
0 + 1p = 18 + 22
1p = 18 + 22

Combine like terms: 18 + 22 = 40
1p = 40

Divide each side by '1'.
p = 40

Simplifying
p = 40