-p-6(7-p)=-82

Solution for -p-6(7-p)=-82 equation:

Simplifying
-1p + -6(7 + -1p) = -82
-1p + (7 * -6 + -1p * -6) = -82
-1p + (-42 + 6p) = -82

Reorder the terms:
-42 + -1p + 6p = -82

Combine like terms: -1p + 6p = 5p
-42 + 5p = -82

Solving
-42 + 5p = -82

Solving for variable 'p'.

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

Add '42' to each side of the equation.
-42 + 42 + 5p = -82 + 42

Combine like terms: -42 + 42 = 0
0 + 5p = -82 + 42
5p = -82 + 42

Combine like terms: -82 + 42 = -40
5p = -40

Divide each side by '5'.
p = -8

Simplifying
p = -8