2(p+6)+8p=82

Solution for 2(p+6)+8p=82 equation:

Simplifying
2(p + 6) + 8p = 82

Reorder the terms:
2(6 + p) + 8p = 82
(6 * 2 + p * 2) + 8p = 82
(12 + 2p) + 8p = 82

Combine like terms: 2p + 8p = 10p
12 + 10p = 82

Solving
12 + 10p = 82

Solving for variable 'p'.

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

Add '-12' to each side of the equation.
12 + -12 + 10p = 82 + -12

Combine like terms: 12 + -12 = 0
0 + 10p = 82 + -12
10p = 82 + -12

Combine like terms: 82 + -12 = 70
10p = 70

Divide each side by '10'.
p = 7

Simplifying
p = 7