-3(7p+4)-2(4-20p)=3(6+6p)

Solution for -3(7p+4)-2(4-20p)=3(6+6p) equation:

Simplifying
-3(7p + 4) + -2(4 + -20p) = 3(6 + 6p)

Reorder the terms:
-3(4 + 7p) + -2(4 + -20p) = 3(6 + 6p)
(4 * -3 + 7p * -3) + -2(4 + -20p) = 3(6 + 6p)
(-12 + -21p) + -2(4 + -20p) = 3(6 + 6p)
-12 + -21p + (4 * -2 + -20p * -2) = 3(6 + 6p)
-12 + -21p + (-8 + 40p) = 3(6 + 6p)

Reorder the terms:
-12 + -8 + -21p + 40p = 3(6 + 6p)

Combine like terms: -12 + -8 = -20
-20 + -21p + 40p = 3(6 + 6p)

Combine like terms: -21p + 40p = 19p
-20 + 19p = 3(6 + 6p)
-20 + 19p = (6 * 3 + 6p * 3)
-20 + 19p = (18 + 18p)

Solving
-20 + 19p = 18 + 18p

Solving for variable 'p'.

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

Add '-18p' to each side of the equation.
-20 + 19p + -18p = 18 + 18p + -18p

Combine like terms: 19p + -18p = 1p
-20 + 1p = 18 + 18p + -18p

Combine like terms: 18p + -18p = 0
-20 + 1p = 18 + 0
-20 + 1p = 18

Add '20' to each side of the equation.
-20 + 20 + 1p = 18 + 20

Combine like terms: -20 + 20 = 0
0 + 1p = 18 + 20
1p = 18 + 20

Combine like terms: 18 + 20 = 38
1p = 38

Divide each side by '1'.
p = 38

Simplifying
p = 38