2(8p+2)-3(2-7p)-2(4+2p)=0

Solution for 2(8p+2)-3(2-7p)-2(4+2p)=0 equation:

Simplifying
2(8p + 2) + -3(2 + -7p) + -2(4 + 2p) = 0

Reorder the terms:
2(2 + 8p) + -3(2 + -7p) + -2(4 + 2p) = 0
(2 * 2 + 8p * 2) + -3(2 + -7p) + -2(4 + 2p) = 0
(4 + 16p) + -3(2 + -7p) + -2(4 + 2p) = 0
4 + 16p + (2 * -3 + -7p * -3) + -2(4 + 2p) = 0
4 + 16p + (-6 + 21p) + -2(4 + 2p) = 0
4 + 16p + -6 + 21p + (4 * -2 + 2p * -2) = 0
4 + 16p + -6 + 21p + (-8 + -4p) = 0

Reorder the terms:
4 + -6 + -8 + 16p + 21p + -4p = 0

Combine like terms: 4 + -6 = -2
-2 + -8 + 16p + 21p + -4p = 0

Combine like terms: -2 + -8 = -10
-10 + 16p + 21p + -4p = 0

Combine like terms: 16p + 21p = 37p
-10 + 37p + -4p = 0

Combine like terms: 37p + -4p = 33p
-10 + 33p = 0

Solving
-10 + 33p = 0

Solving for variable 'p'.

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

Add '10' to each side of the equation.
-10 + 10 + 33p = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 33p = 0 + 10
33p = 0 + 10

Combine like terms: 0 + 10 = 10
33p = 10

Divide each side by '33'.
p = 0.303030303

Simplifying
p = 0.303030303