5p-3(p-2)=-16

Solution for 5p-3(p-2)=-16 equation:

Simplifying
5p + -3(p + -2) = -16

Reorder the terms:
5p + -3(-2 + p) = -16
5p + (-2 * -3 + p * -3) = -16
5p + (6 + -3p) = -16

Reorder the terms:
6 + 5p + -3p = -16

Combine like terms: 5p + -3p = 2p
6 + 2p = -16

Solving
6 + 2p = -16

Solving for variable 'p'.

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

Add '-6' to each side of the equation.
6 + -6 + 2p = -16 + -6

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

Combine like terms: -16 + -6 = -22
2p = -22

Divide each side by '2'.
p = -11

Simplifying
p = -11