-3(2-5p)=(-p)-22

Solution for -3(2-5p)=(-p)-22 equation:

Simplifying
-3(2 + -5p) = (-1p) + -22
(2 * -3 + -5p * -3) = (-1p) + -22
(-6 + 15p) = (-1p) + -22

Reorder the terms:
-6 + 15p = -22 + (-1p)

Solving
-6 + 15p = -22 + (-1p)

Solving for variable 'p'.

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

Add '(p)' to each side of the equation.
-6 + 15p + (p) = -22 + (-1p) + (p)
-6 + 15p + p = -22 + (-1p) + (p)

Combine like terms: 15p + p = 16p
-6 + 16p = -22 + (-1p) + (p)
-6 + 16p = -22 + (-1p) + p

Combine like terms: (-1p) + p = 0
-6 + 16p = -22 + 0
-6 + 16p = -22

Add '6' to each side of the equation.
-6 + 6 + 16p = -22 + 6

Combine like terms: -6 + 6 = 0
0 + 16p = -22 + 6
16p = -22 + 6

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

Divide each side by '16'.
p = -1

Simplifying
p = -1