-3(8p+2)-2(4-20p)=3(3+5p)

Solution for -3(8p+2)-2(4-20p)=3(3+5p) equation:

Simplifying
-3(8p + 2) + -2(4 + -20p) = 3(3 + 5p)

Reorder the terms:
-3(2 + 8p) + -2(4 + -20p) = 3(3 + 5p)
(2 * -3 + 8p * -3) + -2(4 + -20p) = 3(3 + 5p)
(-6 + -24p) + -2(4 + -20p) = 3(3 + 5p)
-6 + -24p + (4 * -2 + -20p * -2) = 3(3 + 5p)
-6 + -24p + (-8 + 40p) = 3(3 + 5p)

Reorder the terms:
-6 + -8 + -24p + 40p = 3(3 + 5p)

Combine like terms: -6 + -8 = -14
-14 + -24p + 40p = 3(3 + 5p)

Combine like terms: -24p + 40p = 16p
-14 + 16p = 3(3 + 5p)
-14 + 16p = (3 * 3 + 5p * 3)
-14 + 16p = (9 + 15p)

Solving
-14 + 16p = 9 + 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.
-14 + 16p + -15p = 9 + 15p + -15p

Combine like terms: 16p + -15p = 1p
-14 + 1p = 9 + 15p + -15p

Combine like terms: 15p + -15p = 0
-14 + 1p = 9 + 0
-14 + 1p = 9

Add '14' to each side of the equation.
-14 + 14 + 1p = 9 + 14

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

Combine like terms: 9 + 14 = 23
1p = 23

Divide each side by '1'.
p = 23

Simplifying
p = 23