-2(8p+2)-3(2-7p)=2(4+2p)

Solution for -2(8p+2)-3(2-7p)=2(4+2p) equation:

Simplifying
-2(8p + 2) + -3(2 + -7p) = 2(4 + 2p)

Reorder the terms:
-2(2 + 8p) + -3(2 + -7p) = 2(4 + 2p)
(2 * -2 + 8p * -2) + -3(2 + -7p) = 2(4 + 2p)
(-4 + -16p) + -3(2 + -7p) = 2(4 + 2p)
-4 + -16p + (2 * -3 + -7p * -3) = 2(4 + 2p)
-4 + -16p + (-6 + 21p) = 2(4 + 2p)

Reorder the terms:
-4 + -6 + -16p + 21p = 2(4 + 2p)

Combine like terms: -4 + -6 = -10
-10 + -16p + 21p = 2(4 + 2p)

Combine like terms: -16p + 21p = 5p
-10 + 5p = 2(4 + 2p)
-10 + 5p = (4 * 2 + 2p * 2)
-10 + 5p = (8 + 4p)

Solving
-10 + 5p = 8 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
-10 + 5p + -4p = 8 + 4p + -4p

Combine like terms: 5p + -4p = 1p
-10 + 1p = 8 + 4p + -4p

Combine like terms: 4p + -4p = 0
-10 + 1p = 8 + 0
-10 + 1p = 8

Add '10' to each side of the equation.
-10 + 10 + 1p = 8 + 10

Combine like terms: -10 + 10 = 0
0 + 1p = 8 + 10
1p = 8 + 10

Combine like terms: 8 + 10 = 18
1p = 18

Divide each side by '1'.
p = 18

Simplifying
p = 18