2p-4(p+6)=-42

Solution for 2p-4(p+6)=-42 equation:

Simplifying
2p + -4(p + 6) = -42

Reorder the terms:
2p + -4(6 + p) = -42
2p + (6 * -4 + p * -4) = -42
2p + (-24 + -4p) = -42

Reorder the terms:
-24 + 2p + -4p = -42

Combine like terms: 2p + -4p = -2p
-24 + -2p = -42

Solving
-24 + -2p = -42

Solving for variable 'p'.

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

Add '24' to each side of the equation.
-24 + 24 + -2p = -42 + 24

Combine like terms: -24 + 24 = 0
0 + -2p = -42 + 24
-2p = -42 + 24

Combine like terms: -42 + 24 = -18
-2p = -18

Divide each side by '-2'.
p = 9

Simplifying
p = 9