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

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

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

Combine like terms: 8 + 2 = 10
-2(10) + -3(2 + -7p) + -2(4 + 2p) = 0

Multiply -2 * 10
-20 + -3(2 + -7p) + -2(4 + 2p) = 0
-20 + (2 * -3 + -7p * -3) + -2(4 + 2p) = 0
-20 + (-6 + 21p) + -2(4 + 2p) = 0
-20 + -6 + 21p + (4 * -2 + 2p * -2) = 0
-20 + -6 + 21p + (-8 + -4p) = 0

Reorder the terms:
-20 + -6 + -8 + 21p + -4p = 0

Combine like terms: -20 + -6 = -26
-26 + -8 + 21p + -4p = 0

Combine like terms: -26 + -8 = -34
-34 + 21p + -4p = 0

Combine like terms: 21p + -4p = 17p
-34 + 17p = 0

Solving
-34 + 17p = 0

Solving for variable 'p'.

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

Add '34' to each side of the equation.
-34 + 34 + 17p = 0 + 34

Combine like terms: -34 + 34 = 0
0 + 17p = 0 + 34
17p = 0 + 34

Combine like terms: 0 + 34 = 34
17p = 34

Divide each side by '17'.
p = 2

Simplifying
p = 2