-3(8p+6)-2(1-20p)=3(6+5p)

Solution for -3(8p+6)-2(1-20p)=3(6+5p) equation:

Simplifying
-3(8p + 6) + -2(1 + -20p) = 3(6 + 5p)

Reorder the terms:
-3(6 + 8p) + -2(1 + -20p) = 3(6 + 5p)
(6 * -3 + 8p * -3) + -2(1 + -20p) = 3(6 + 5p)
(-18 + -24p) + -2(1 + -20p) = 3(6 + 5p)
-18 + -24p + (1 * -2 + -20p * -2) = 3(6 + 5p)
-18 + -24p + (-2 + 40p) = 3(6 + 5p)

Reorder the terms:
-18 + -2 + -24p + 40p = 3(6 + 5p)

Combine like terms: -18 + -2 = -20
-20 + -24p + 40p = 3(6 + 5p)

Combine like terms: -24p + 40p = 16p
-20 + 16p = 3(6 + 5p)
-20 + 16p = (6 * 3 + 5p * 3)
-20 + 16p = (18 + 15p)

Solving
-20 + 16p = 18 + 15p

Solving for variable 'p'.

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

Add '-15p' to each side of the equation.
-20 + 16p + -15p = 18 + 15p + -15p

Combine like terms: 16p + -15p = 1p
-20 + 1p = 18 + 15p + -15p

Combine like terms: 15p + -15p = 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