-5(p+2)-2(3+2p)=-43

Solution for -5(p+2)-2(3+2p)=-43 equation:

Simplifying
-5(p + 2) + -2(3 + 2p) = -43

Reorder the terms:
-5(2 + p) + -2(3 + 2p) = -43
(2 * -5 + p * -5) + -2(3 + 2p) = -43
(-10 + -5p) + -2(3 + 2p) = -43
-10 + -5p + (3 * -2 + 2p * -2) = -43
-10 + -5p + (-6 + -4p) = -43

Reorder the terms:
-10 + -6 + -5p + -4p = -43

Combine like terms: -10 + -6 = -16
-16 + -5p + -4p = -43

Combine like terms: -5p + -4p = -9p
-16 + -9p = -43

Solving
-16 + -9p = -43

Solving for variable 'p'.

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

Add '16' to each side of the equation.
-16 + 16 + -9p = -43 + 16

Combine like terms: -16 + 16 = 0
0 + -9p = -43 + 16
-9p = -43 + 16

Combine like terms: -43 + 16 = -27
-9p = -27

Divide each side by '-9'.
p = 3

Simplifying
p = 3